2540315925 has 288 divisors, whose sum is σ = 5823627264. Its totient is φ = 1073088000.

The previous prime is 2540315923. The next prime is 2540315927. The reversal of 2540315925 is 5295130452.

It is a happy number.

2540315925 is a `hidden beast` number, since 25 + 40 + 3 + 1 + 592 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2540315923) and next prime (2540315927).

It is not a de Polignac number, because 2540315925 - 2¹ = 2540315923 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2540315925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540315923) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54049252 + ... + 54049298.

It is an arithmetic number, because the mean of its divisors is an integer number (20220928).

Almost surely, 2^2540315925 is an apocalyptic number.

2540315925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2540315925 is an abundant number, since it is smaller than the sum of its proper divisors (3283311339).

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

2540315925 is a wasteful number, since it uses less digits than its factorization.

2540315925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2540315925 is about 50401.5468512624. The cubic root of 2540315925 is about 1364.4655557783.

It can be divided in two parts, 25403 and 15925, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 2540315925 in words is "two billion, five hundred forty million, three hundred fifteen thousand, nine hundred twenty-five".