2820414465 has 64 divisors (see below), whose sum is σ = 5562777600. Its totient is φ = 1344254400.

The previous prime is 2820414449. The next prime is 2820414551. The reversal of 2820414465 is 5644140282.

2820414465 is a `hidden beast` number, since 2 + 8 + 204 + 1 + 446 + 5 = 666.

It is not a de Polignac number, because 2820414465 - 2⁴ = 2820414449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71520 + ... + 103710.

It is an arithmetic number, because the mean of its divisors is an integer number (86918400).

Almost surely, 2^2820414465 is an apocalyptic number.

It is an amenable number.

2820414465 is a deficient number, since it is larger than the sum of its proper divisors (2742363135).

2820414465 is a wasteful number, since it uses less digits than its factorization.

2820414465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32275 (or 32269 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2820414465 is about 53107.5744597699. The cubic root of 2820414465 is about 1412.8768560332.

The spelling of 2820414465 in words is "two billion, eight hundred twenty million, four hundred fourteen thousand, four hundred sixty-five".