2540055372400 has 240 divisors, whose sum is σ = 7713745635904. Its totient is φ = 782158602240.

The previous prime is 2540055372391. The next prime is 2540055372403. The reversal of 2540055372400 is 42735500452.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2540055372400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540055372403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403804 + ... + 2289796.

Almost surely, 2^{2540055372400} is an apocalyptic number.

2540055372400 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 2540055372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856872817952).

2540055372400 is an abundant number, since it is smaller than the sum of its proper divisors (5173690263504).

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

2540055372400 is a wasteful number, since it uses less digits than its factorization.

2540055372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886068 (or 1886057 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The spelling of 2540055372400 in words is "two trillion, five hundred forty billion, fifty-five million, three hundred seventy-two thousand, four hundred".