2940368800 has 36 divisors (see below), whose sum is σ = 7178177286. Its totient is φ = 1176147200.

The previous prime is 2940368759. The next prime is 2940368839. The reversal of 2940368800 is 88630492.

2940368800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2087027856 + 853340944 = 45684^2 + 29212^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1836931 + ... + 1838530.

Almost surely, 2^2940368800 is an apocalyptic number.

2940368800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2940368800 is an abundant number, since it is smaller than the sum of its proper divisors (4237808486).

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

2940368800 is a wasteful number, since it uses less digits than its factorization.

2940368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675481 (or 3675468 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2940368800 is about 54225.1675884916. The cubic root of 2940368800 is about 1432.6296503828.

The spelling of 2940368800 in words is "two billion, nine hundred forty million, three hundred sixty-eight thousand, eight hundred".