2508963840 has 360 divisors, whose sum is σ = 9016954128. Its totient is φ = 644874240.

The previous prime is 2508963839. The next prime is 2508963841. The reversal of 2508963840 is 483698052.

2508963840 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 9 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2508963839) and next prime (2508963841).

It is a tau number, because it is divible by the number of its divisors (360).

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 (2508963841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30228439 + ... + 30228521.

Almost surely, 2^2508963840 is an apocalyptic number.

2508963840 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 2508963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508477064).

2508963840 is an abundant number, since it is smaller than the sum of its proper divisors (6507990288).

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

2508963840 is an equidigital number, since it uses as much as digits as its factorization.

2508963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2508963840 is about 50089.5581933001. The cubic root of 2508963840 is about 1358.8289804563.

The spelling of 2508963840 in words is "two billion, five hundred eight million, nine hundred sixty-three thousand, eight hundred forty".