2152478664 has 256 divisors, whose sum is σ = 7387200000. Its totient is φ = 578479104.

The previous prime is 2152478659. The next prime is 2152478711. The reversal of 2152478664 is 4668742512.

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, 1258642 + ... + 1260350.

It is an arithmetic number, because the mean of its divisors is an integer number (28856250).

Almost surely, 2^2152478664 is an apocalyptic number.

2152478664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152478664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600000).

2152478664 is an abundant number, since it is smaller than the sum of its proper divisors (5234721336).

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

2152478664 is a wasteful number, since it uses less digits than its factorization.

2152478664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1738 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2152478664 is about 46394.8128997197. The cubic root of 2152478664 is about 1291.1586777312.

The spelling of 2152478664 in words is "two billion, one hundred fifty-two million, four hundred seventy-eight thousand, six hundred sixty-four".