2835456001 has 9 divisors (see below), whose sum is σ = 3298821249. Its totient is φ = 2430071364.

The previous prime is 2835455989. The next prime is 2835456049. The reversal of 2835456001 is 1006545382.

The square root of 2835456001 is 53249.

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

It is not a de Polignac number, because 2835456001 - 2⁹ = 2835455489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2835454001) 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, 368940 + ... + 376546.

Almost surely, 2^2835456001 is an apocalyptic number.

2835456001 is the 53249-th square number.

2835456001 is the 26625-th centered octagonal number.

It is an amenable number.

2835456001 is a deficient number, since it is larger than the sum of its proper divisors (463365248).

2835456001 is an frugal number, since it uses more digits than its factorization.

2835456001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 2835456001 is about 1415.3840726784.

The spelling of 2835456001 in words is "two billion, eight hundred thirty-five million, four hundred fifty-six thousand, one".