2540369920 has 192 divisors, whose sum is σ = 7005398400. Its totient is φ = 874414080.

The previous prime is 2540369911. The next prime is 2540369999. The reversal of 2540369920 is 299630452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139567 + ... + 2140753.

It is an arithmetic number, because the mean of its divisors is an integer number (36486450).

Almost surely, 2^2540369920 is an apocalyptic number.

2540369920 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 2540369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502699200).

2540369920 is an abundant number, since it is smaller than the sum of its proper divisors (4465028480).

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

2540369920 is a wasteful number, since it uses less digits than its factorization.

2540369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 2540369920 is about 50402.0824966588. The cubic root of 2540369920 is about 1364.4752230530.

The spelling of 2540369920 in words is "two billion, five hundred forty million, three hundred sixty-nine thousand, nine hundred twenty".