2500960000 has 540 divisors, whose sum is σ = 8189347320. Its totient is φ = 752640000.

The previous prime is 2500959997. The next prime is 2500960009. The reversal of 2500960000 is 690052.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500960009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86239986 + ... + 86240014.

It is an arithmetic number, because the mean of its divisors is an integer number (15165458).

Almost surely, 2^2500960000 is an apocalyptic number.

2500960000 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 2500960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094673660).

2500960000 is an abundant number, since it is smaller than the sum of its proper divisors (5688387320).

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

2500960000 is an equidigital number, since it uses as much as digits as its factorization.

2500960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2500960000 is about 50009.5990785769. The cubic root of 2500960000 is about 1357.3825087931.

The spelling of 2500960000 in words is "two billion, five hundred million, nine hundred sixty thousand".