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2420552664 = 2332311084477
BaseRepresentation
bin1001000001000110…
…1011001111011000
320020200200211000200
42100101223033120
514424130141124
61040104502200
7113661233565
oct22021531730
96220624020
102420552664
111032380052
1257677a960
132c76337aa
1418d68d86c
15e2785bc9
hex9046b3d8

2420552664 has 48 divisors (see below), whose sum is σ = 6767142720. Its totient is φ = 780822720.

The previous prime is 2420552663. The next prime is 2420552677. The reversal of 2420552664 is 4662550242.

2420552664 is a `hidden beast` number, since 2 + 42 + 0 + 552 + 6 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420552663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540007 + ... + 544470.

It is an arithmetic number, because the mean of its divisors is an integer number (140982140).

Almost surely, 22420552664 is an apocalyptic number.

2420552664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420552664 is an abundant number, since it is smaller than the sum of its proper divisors (4346590056).

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

2420552664 is a wasteful number, since it uses less digits than its factorization.

2420552664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084520 (or 1084513 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2420552664 is about 49199.1124310185. The cubic root of 2420552664 is about 1342.6768839891.

The spelling of 2420552664 in words is "two billion, four hundred twenty million, five hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1084477 2168954 3253431 4337908 6506862 8675816 9760293 13013724 19520586 26027448 33618787 39041172 67237574 78082344 100856361 134475148 201712722 268950296 302569083 403425444 605138166 806850888 1210276332 2420552664