2500560000 has 480 divisors, whose sum is σ = 9444726720. Its totient is φ = 633600000.

The previous prime is 2500559989. The next prime is 2500560043. The reversal of 2500560000 is 650052.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16559925 + ... + 16560075.

It is an arithmetic number, because the mean of its divisors is an integer number (19676514).

Almost surely, 2^2500560000 is an apocalyptic number.

2500560000 is a gapful number since it is divisible by the number (20) 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 2500560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722363360).

2500560000 is an abundant number, since it is smaller than the sum of its proper divisors (6944166720).

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

2500560000 is a wasteful number, since it uses less digits than its factorization.

2500560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2500560000 is about 50005.5996864351. The cubic root of 2500560000 is about 1357.3101389895.

It can be divided in two parts, 2500 and 560000, that added together give a square (562500 = 750²).

The spelling of 2500560000 in words is "two billion, five hundred million, five hundred sixty thousand".