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2642419044 = 2233311495297
BaseRepresentation
bin1001110110000000…
…0001110101100100
320211011011210111000
42131200001311210
520402424402134
61114112113300
7122324122416
oct23540016544
96734153430
102642419044
1111366385a1
12618b35830
133315a5885
141b0d249b6
15106eade99
hex9d801d64

2642419044 has 96 divisors (see below), whose sum is σ = 7120512000. Its totient is φ = 846512640.

The previous prime is 2642419027. The next prime is 2642419061. The reversal of 2642419044 is 4409142462.

It is a happy number.

2642419044 is a `hidden beast` number, since 2 + 6 + 424 + 190 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2642419027) and next prime (2642419061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496204 + ... + 501500.

It is an arithmetic number, because the mean of its divisors is an integer number (74172000).

Almost surely, 22642419044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642419044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560256000).

2642419044 is an abundant number, since it is smaller than the sum of its proper divisors (4478092956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2642419044 is a wasteful number, since it uses less digits than its factorization.

2642419044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2642419044 is about 51404.4652146095. The cubic root of 2642419044 is about 1382.5066539470.

The spelling of 2642419044 in words is "two billion, six hundred forty-two million, four hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 149 186 279 298 372 447 558 596 837 894 1116 1341 1674 1788 2682 3348 4023 4619 5297 5364 8046 9238 10594 13857 15891 16092 18476 21188 27714 31782 41571 47673 55428 63564 83142 95346 124713 143019 164207 166284 190692 249426 286038 328414 492621 498852 572076 656828 789253 985242 1477863 1578506 1970484 2367759 2955726 3157012 4433589 4735518 5911452 7103277 8867178 9471036 14206554 17734356 21309831 24466843 28413108 42619662 48933686 73400529 85239324 97867372 146801058 220201587 293602116 440403174 660604761 880806348 1321209522 2642419044