2562603264 has 432 divisors, whose sum is σ = 8722156800. Its totient is φ = 737538048.

The previous prime is 2562603193. The next prime is 2562603269. The reversal of 2562603264 is 4623062652.

2562603264 is a `hidden beast` number, since 2 + 5 + 626 + 0 + 3 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (2562603269) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32437977 + ... + 32438055.

Almost surely, 2^2562603264 is an apocalyptic number.

2562603264 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 2562603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361078400).

2562603264 is an abundant number, since it is smaller than the sum of its proper divisors (6159553536).

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

2562603264 is a wasteful number, since it uses less digits than its factorization.

2562603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

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

The square root of 2562603264 is about 50622.1617871066. The cubic root of 2562603264 is about 1368.4443001287. Note that the first 3 decimals are identical.

The spelling of 2562603264 in words is "two billion, five hundred sixty-two million, six hundred three thousand, two hundred sixty-four".