2400553920 has 112 divisors (see below), whose sum is σ = 7689555360. Its totient is φ = 634454016.

The previous prime is 2400553891. The next prime is 2400553927. The reversal of 2400553920 is 293550042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400553927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97416 + ... + 119544.

Almost surely, 2^2400553920 is an apocalyptic number.

2400553920 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 2400553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844777680).

2400553920 is an abundant number, since it is smaller than the sum of its proper divisors (5289001440).

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

2400553920 is a wasteful number, since it uses less digits than its factorization.

2400553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22262 (or 22252 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2400553920 is about 48995.4479518251. The cubic root of 2400553920 is about 1338.9688956575.

The spelling of 2400553920 in words is "two billion, four hundred million, five hundred fifty-three thousand, nine hundred twenty".