2478401920 has 32 divisors (see below), whose sum is σ = 5924931120. Its totient is φ = 991360512.

The previous prime is 2478401917. The next prime is 2478401951. The reversal of 2478401920 is 291048742.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2478401920² = 12284952154119372800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2478401920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1935612 + ... + 1936891.

Almost surely, 2^2478401920 is an apocalyptic number.

2478401920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478401920 is an abundant number, since it is smaller than the sum of its proper divisors (3446529200).

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

2478401920 is an equidigital number, since it uses as much as digits as its factorization.

2478401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872522 (or 3872510 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2478401920 is about 49783.5506969923. The cubic root of 2478401920 is about 1353.2890848100.

The spelling of 2478401920 in words is "two billion, four hundred seventy-eight million, four hundred one thousand, nine hundred twenty".