2510625360 has 80 divisors (see below), whose sum is σ = 7826552640. Its totient is φ = 665748480.

The previous prime is 2510625353. The next prime is 2510625361. The reversal of 2510625360 is 635260152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510625361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13740 + ... + 72180.

It is an arithmetic number, because the mean of its divisors is an integer number (97831908).

Almost surely, 2^2510625360 is an apocalyptic number.

2510625360 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 2510625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913276320).

2510625360 is an abundant number, since it is smaller than the sum of its proper divisors (5315927280).

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

2510625360 is a wasteful number, since it uses less digits than its factorization.

2510625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58636 (or 58630 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2510625360 is about 50106.1409410064. The cubic root of 2510625360 is about 1359.1288683084.

The spelling of 2510625360 in words is "two billion, five hundred ten million, six hundred twenty-five thousand, three hundred sixty".