2997097142400 has 144 divisors (see below), whose sum is σ = 10694329541610. Its totient is φ = 799225896960.

The previous prime is 2997097142329. The next prime is 2997097142437. The reversal of 2997097142400 is 42417907992.

2997097142400 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 0 + 97 + 142 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2102801610816 + 894295531584 = 1450104^2 + 945672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52004137 + ... + 52061736.

Almost surely, 2^{2997097142400} is an apocalyptic number.

2997097142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2997097142400 is an abundant number, since it is smaller than the sum of its proper divisors (7697232399210).

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

2997097142400 is a wasteful number, since it uses less digits than its factorization.

2997097142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104065903 (or 104065883 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2997097142400 in words is "two trillion, nine hundred ninety-seven billion, ninety-seven million, one hundred forty-two thousand, four hundred".