2510252064 has 72 divisors (see below), whose sum is σ = 7384710060. Its totient is φ = 807894528.

The previous prime is 2510252057. The next prime is 2510252123. The reversal of 2510252064 is 4602520152.

It can be written as a sum of positive squares in 2 ways, for example, as 2510010000 + 242064 = 50100^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141927 + ... + 158630.

Almost surely, 2^2510252064 is an apocalyptic number.

2510252064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2510252064 is an abundant number, since it is smaller than the sum of its proper divisors (4874457996).

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

2510252064 is a wasteful number, since it uses less digits than its factorization.

2510252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300602 (or 300591 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2510252064 is about 50102.4157501412. The cubic root of 2510252064 is about 1359.0615036157.

The spelling of 2510252064 in words is "two billion, five hundred ten million, two hundred fifty-two thousand, sixty-four".