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2542251642 = 2371924113219
BaseRepresentation
bin1001011110000111…
…1010111001111010
320120011200202122020
42113201322321322
520201304023032
61100133135310
7116666532240
oct22741727172
96504622566
102542251642
111095042317
125ab48a536
13316903b18
141a18cc790
15ed2c4b2c
hex9787ae7a

2542251642 has 64 divisors (see below), whose sum is σ = 6142540800. Its totient is φ = 685221120.

The previous prime is 2542251629. The next prime is 2542251653. The reversal of 2542251642 is 2461522452.

It is a super-2 number, since 2×25422516422 = 12926086822503392328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185709 + ... + 198927.

It is an arithmetic number, because the mean of its divisors is an integer number (95977200).

Almost surely, 22542251642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542251642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071270400).

2542251642 is an abundant number, since it is smaller than the sum of its proper divisors (3600289158).

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

2542251642 is a wasteful number, since it uses less digits than its factorization.

2542251642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491.

The product of its digits is 38400, while the sum is 33.

The square root of 2542251642 is about 50420.7461467995. The cubic root of 2542251642 is about 1364.8120413685.

The spelling of 2542251642 in words is "two billion, five hundred forty-two million, two hundred fifty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 241 266 399 482 723 798 1446 1687 3374 4579 5061 9158 10122 13219 13737 26438 27474 32053 39657 64106 79314 92533 96159 185066 192318 251161 277599 502322 555198 753483 1506966 1758127 3185779 3516254 5274381 6371558 9557337 10548762 19114674 22300453 44600906 60529801 66901359 121059602 133802718 181589403 363178806 423708607 847417214 1271125821 2542251642