2540251010400 has 216 divisors, whose sum is σ = 8726609601864. Its totient is φ = 641747404800.

The previous prime is 2540251010371. The next prime is 2540251010449. The reversal of 2540251010400 is 40101520452.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 599581 + ... + 2332380.

It is an arithmetic number, because the mean of its divisors is an integer number (40400970379).

Almost surely, 2^{2540251010400} is an apocalyptic number.

2540251010400 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 2540251010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363304800932).

2540251010400 is an abundant number, since it is smaller than the sum of its proper divisors (6186358591464).

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

2540251010400 is a wasteful number, since it uses less digits than its factorization.

2540251010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932022 (or 2931990 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 2540251010400 its reverse (40101520452), we get a palindrome (2580352530852).

The spelling of 2540251010400 in words is "two trillion, five hundred forty billion, two hundred fifty-one million, ten thousand, four hundred".