2918401920 has 512 divisors, whose sum is σ = 12337920000. Its totient is φ = 637452288.

The previous prime is 2918401903. The next prime is 2918401991. The reversal of 2918401920 is 291048192.

2918401920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781556 + ... + 2782604.

It is an arithmetic number, because the mean of its divisors is an integer number (24097500).

Almost surely, 2^2918401920 is an apocalyptic number.

2918401920 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 2918401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960000).

2918401920 is an abundant number, since it is smaller than the sum of its proper divisors (9419518080).

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

2918401920 is a wasteful number, since it uses less digits than its factorization.

2918401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2918401920 is about 54022.2354220926. The cubic root of 2918401920 is about 1429.0531035551.

The spelling of 2918401920 in words is "two billion, nine hundred eighteen million, four hundred one thousand, nine hundred twenty".