2896807404001 has 81 divisors (see below), whose sum is σ = 3629320304337. Its totient is φ = 2305053994320.

The previous prime is 2896807403953. The next prime is 2896807404031. The reversal of 2896807404001 is 1004047086982.

It is a happy number.

The square root of 2896807404001 is 1702001.

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

It is not a de Polignac number, because 2896807404001 - 2¹³ = 2896807395809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2896807404031) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15166530816 + ... + 15166531006.

Almost surely, 2^{2896807404001} is an apocalyptic number.

2896807404001 is the 1702001-st square number.

2896807404001 is the 851001-st centered octagonal number.

It is an amenable number.

2896807404001 is a deficient number, since it is larger than the sum of its proper divisors (732512900336).

2896807404001 is an frugal number, since it uses more digits than its factorization.

2896807404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 2896807404001 by its sum of digits (49), we get a square (141943562796049 = 11914007²).

2896807404001 divided by its sum of digits (49) gives a square (59118518449 = 243143²).

The spelling of 2896807404001 in words is "two trillion, eight hundred ninety-six billion, eight hundred seven million, four hundred four thousand, one".