2509615872000 has 960 divisors, whose sum is σ = 9610827145920. Its totient is φ = 650944512000.

The previous prime is 2509615871977. The next prime is 2509615872007. The reversal of 2509615872000 is 2785169052.

2509615872000 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 61 + 587 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509615872007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 767230365 + ... + 767233635.

It is an arithmetic number, because the mean of its divisors is an integer number (10011278277).

Almost surely, 2^{2509615872000} is an apocalyptic number.

2509615872000 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 2509615872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805413572960).

2509615872000 is an abundant number, since it is smaller than the sum of its proper divisors (7101211273920).

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

2509615872000 is an equidigital number, since it uses as much as digits as its factorization.

2509615872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2509615872000 in words is "two trillion, five hundred nine billion, six hundred fifteen million, eight hundred seventy-two thousand".