2940512400 has 180 divisors, whose sum is σ = 11662265472. Its totient is φ = 672111360.

The previous prime is 2940512383. The next prime is 2940512401. The reversal of 2940512400 is 42150492.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×2940512400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2940512401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33144 + ... + 83543.

Almost surely, 2^2940512400 is an apocalyptic number.

2940512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2940512400 is an abundant number, since it is smaller than the sum of its proper divisors (8721753072).

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

2940512400 is a wasteful number, since it uses less digits than its factorization.

2940512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116718 (or 116704 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2940512400 is about 54226.4916807274. The cubic root of 2940512400 is about 1432.6529719776.

Adding to 2940512400 its reverse (42150492), we get a palindrome (2982662892).

The spelling of 2940512400 in words is "two billion, nine hundred forty million, five hundred twelve thousand, four hundred".