2997358138944 has 567 divisors, whose sum is σ = 9666882201249. Its totient is φ = 887527480320.

The previous prime is 2997358138883. The next prime is 2997358138979. The reversal of 2997358138944 is 4498318537992.

The square root of 2997358138944 is 1731288.

It is a perfect power (a square), and thus also a powerful number.

2997358138944 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 3 + 581 + 38 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 443396174400 + 2553961964544 = 665880^2 + 1598112^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16745017447 + ... + 16745017625.

Almost surely, 2^{2997358138944} is an apocalyptic number.

2997358138944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2997358138944 is the 1731288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997358138944

2997358138944 is an abundant number, since it is smaller than the sum of its proper divisors (6669524062305).

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

2997358138944 is a wasteful number, since it uses less digits than its factorization.

2997358138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 228 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 2997358138944 in words is "two trillion, nine hundred ninety-seven billion, three hundred fifty-eight million, one hundred thirty-eight thousand, nine hundred forty-four".