2898332597601 has 135 divisors (see below), whose sum is σ = 5131986102243. Its totient is φ = 1625362109280.

The previous prime is 2898332597507. The next prime is 2898332597603. The reversal of 2898332597601 is 1067952338982.

The square root of 2898332597601 is 1702449.

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

2898332597601 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 3 + 32 + 597 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94248386001 + 2804084211600 = 306999^2 + 1674540^2 .

It is not a de Polignac number, because 2898332597601 - 2¹⁵ = 2898332564833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2898332597603) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6542511286 + ... + 6542511728.

Almost surely, 2^{2898332597601} is an apocalyptic number.

2898332597601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2898332597601 is the 1702449-th square number.

2898332597601 is the 851225-th centered octagonal number.

It is an amenable number.

2898332597601 is a deficient number, since it is larger than the sum of its proper divisors (2233653504642).

2898332597601 is an frugal number, since it uses more digits than its factorization.

2898332597601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2898332597601 in words is "two trillion, eight hundred ninety-eight billion, three hundred thirty-two million, five hundred ninety-seven thousand, six hundred one".