2164006464 has 28 divisors (see below), whose sum is σ = 5725600944. Its totient is φ = 721335424.

The previous prime is 2164006459. The next prime is 2164006487. The reversal of 2164006464 is 4646004612.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5635242 + ... + 5635625.

It is an arithmetic number, because the mean of its divisors is an integer number (204485748).

Almost surely, 2^2164006464 is an apocalyptic number.

2164006464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2164006464 is an abundant number, since it is smaller than the sum of its proper divisors (3561594480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2164006464 is a wasteful number, since it uses less digits than its factorization.

2164006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11270882 (or 11270872 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2164006464 is about 46518.8828756667. The cubic root of 2164006464 is about 1293.4595486228.

The spelling of 2164006464 in words is "two billion, one hundred sixty-four million, six thousand, four hundred sixty-four".