2525890464 has 144 divisors (see below), whose sum is σ = 7636591872. Its totient is φ = 789202944.

The previous prime is 2525890417. The next prime is 2525890487. The reversal of 2525890464 is 4640985252.

2525890464 is a `hidden beast` number, since 2 + 5 + 2 + 589 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2525890464² = 12760245272252270592, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1384657 + ... + 1386479.

It is an arithmetic number, because the mean of its divisors is an integer number (53031888).

Almost surely, 2^2525890464 is an apocalyptic number.

2525890464 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 2525890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818295936).

2525890464 is an abundant number, since it is smaller than the sum of its proper divisors (5110701408).

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

2525890464 is a wasteful number, since it uses less digits than its factorization.

2525890464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2525890464 is about 50258.2377725284. The cubic root of 2525890464 is about 1361.8778959928.

The spelling of 2525890464 in words is "two billion, five hundred twenty-five million, eight hundred ninety thousand, four hundred sixty-four".