2625903360 has 720 divisors, whose sum is σ = 10446965760. Its totient is φ = 627056640.

The previous prime is 2625903347. The next prime is 2625903373. The reversal of 2625903360 is 633095262.

2625903360 is a `hidden beast` number, since 2 + 6 + 2 + 590 + 3 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2625903347) and next prime (2625903373).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61067499 + ... + 61067541.

Almost surely, 2^2625903360 is an apocalyptic number.

2625903360 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 2625903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223482880).

2625903360 is an abundant number, since it is smaller than the sum of its proper divisors (7821062400).

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

2625903360 is a wasteful number, since it uses less digits than its factorization.

2625903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2625903360 is about 51243.5689623586. The cubic root of 2625903360 is about 1379.6203114224.

The spelling of 2625903360 in words is "two billion, six hundred twenty-five million, nine hundred three thousand, three hundred sixty".