2400401920 has 320 divisors, whose sum is σ = 7070976000. Its totient is φ = 763822080.

The previous prime is 2400401897. The next prime is 2400401933. The reversal of 2400401920 is 291040042.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 2400401891 and 2400401900.

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, 16110006 + ... + 16110154.

It is an arithmetic number, because the mean of its divisors is an integer number (22096800).

Almost surely, 2^2400401920 is an apocalyptic number.

2400401920 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 2400401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

2400401920 is an abundant number, since it is smaller than the sum of its proper divisors (4670574080).

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

2400401920 is a wasteful number, since it uses less digits than its factorization.

2400401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2400401920 is about 48993.8967627602. The cubic root of 2400401920 is about 1338.9406344625.

Adding to 2400401920 its reverse (291040042), we get a palindrome (2691441962).

The spelling of 2400401920 in words is "two billion, four hundred million, four hundred one thousand, nine hundred twenty".