2999827464001 has 9 divisors (see below), whose sum is σ = 3099773141409. Its totient is φ = 2903006876100.

The previous prime is 2999827463959. The next prime is 2999827464031. The reversal of 2999827464001 is 1004647289992.

The square root of 2999827464001 is 1732001.

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

It is not a de Polignac number, because 2999827464001 - 2³³ = 2991237529409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2999827464031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53664096 + ... + 53719966.

Almost surely, 2^{2999827464001} is an apocalyptic number.

2999827464001 is the 1732001-st square number.

2999827464001 is the 866001-st centered octagonal number.

It is an amenable number.

2999827464001 is a deficient number, since it is larger than the sum of its proper divisors (99945677408).

2999827464001 is an frugal number, since it uses more digits than its factorization.

2999827464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111804 (or 55902 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 2999827464001 in words is "two trillion, nine hundred ninety-nine billion, eight hundred twenty-seven million, four hundred sixty-four thousand, one".