2656203264 has 480 divisors, whose sum is σ = 9383774400. Its totient is φ = 712212480.

The previous prime is 2656203257. The next prime is 2656203269. The reversal of 2656203264 is 4623026562.

2656203264 is a `hidden beast` number, since 2 + 6 + 5 + 620 + 3 + 26 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2656203269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19109307 + ... + 19109445.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^2656203264 is an apocalyptic number.

2656203264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691887200).

2656203264 is an abundant number, since it is smaller than the sum of its proper divisors (6727571136).

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

2656203264 is a wasteful number, since it uses less digits than its factorization.

2656203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2656203264 is about 51538.3669124275. The cubic root of 2656203264 is about 1384.9064417420.

The spelling of 2656203264 in words is "two billion, six hundred fifty-six million, two hundred three thousand, two hundred sixty-four".