2978037038601 has 27 divisors (see below), whose sum is σ = 4395439097101. Its totient is φ = 1942957601304.

The previous prime is 2978037038591. The next prime is 2978037038609. The reversal of 2978037038601 is 1068307308792.

The square root of 2978037038601 is 1725699.

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

2978037038601 is a `hidden beast` number, since 29 + 7 + 8 + 0 + 3 + 7 + 0 + 3 + 8 + 601 = 666.

It is not a de Polignac number, because 2978037038601 - 2⁹ = 2978037038089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2978037038609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243317440 + ... + 243329678.

Almost surely, 2^{2978037038601} is an apocalyptic number.

2978037038601 is the 1725699-th square number.

2978037038601 is the 862850-th centered octagonal number.

It is an amenable number.

2978037038601 is a deficient number, since it is larger than the sum of its proper divisors (1417402058500).

2978037038601 is an frugal number, since it uses more digits than its factorization.

2978037038601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24578 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2978037038601 in words is "two trillion, nine hundred seventy-eight billion, thirty-seven million, thirty-eight thousand, six hundred one".