2540204400020 has 288 divisors, whose sum is σ = 6378682464000. Its totient is φ = 832318156800.

The previous prime is 2540204399981. The next prime is 2540204400079. The reversal of 2540204400020 is 200044020452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5090589731 + ... + 5090590229.

It is an arithmetic number, because the mean of its divisors is an integer number (22148203000).

Almost surely, 2^{2540204400020} is an apocalyptic number.

2540204400020 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 2540204400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189341232000).

2540204400020 is an abundant number, since it is smaller than the sum of its proper divisors (3838478063980).

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

2540204400020 is a wasteful number, since it uses less digits than its factorization.

2540204400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 2540204400020 its reverse (200044020452), we get a palindrome (2740248420472).

The spelling of 2540204400020 in words is "two trillion, five hundred forty billion, two hundred four million, four hundred thousand, twenty".