2540100120 has 128 divisors (see below), whose sum is σ = 8041248000. Its totient is φ = 640120320.

The previous prime is 2540100083. The next prime is 2540100137. The reversal of 2540100120 is 210010452.

2540100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2540100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118346 + ... + 1120614.

It is an arithmetic number, because the mean of its divisors is an integer number (62822250).

Almost surely, 2^2540100120 is an apocalyptic number.

2540100120 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 2540100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020624000).

2540100120 is an abundant number, since it is smaller than the sum of its proper divisors (5501147880).

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

2540100120 is a wasteful number, since it uses less digits than its factorization.

2540100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2540100120 is about 50399.4059488800. The cubic root of 2540100120 is about 1364.4269166436.

Adding to 2540100120 its reverse (210010452), we get a palindrome (2750110572).

The spelling of 2540100120 in words is "two billion, five hundred forty million, one hundred thousand, one hundred twenty".