2540012640 has 288 divisors, whose sum is σ = 8902117728. Its totient is φ = 608256000.

The previous prime is 2540012603. The next prime is 2540012707. The reversal of 2540012640 is 462100452.

It is a super-2 number, since 2×2540012640² = 12903328422719539200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2540012640.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5865864 + ... + 5866296.

It is an arithmetic number, because the mean of its divisors is an integer number (30910131).

Almost surely, 2^2540012640 is an apocalyptic number.

2540012640 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 2540012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451058864).

2540012640 is an abundant number, since it is smaller than the sum of its proper divisors (6362105088).

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

2540012640 is a wasteful number, since it uses less digits than its factorization.

2540012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2540012640 is about 50398.5380740354. The cubic root of 2540012640 is about 1364.4112530304.

The spelling of 2540012640 in words is "two billion, five hundred forty million, twelve thousand, six hundred forty".