2667564900 has 1080 divisors, whose sum is σ = 12068977536. Its totient is φ = 500774400.

The previous prime is 2667564859. The next prime is 2667564901. The reversal of 2667564900 is 94657662.

2667564900 is a `hidden beast` number, since 26 + 67 + 564 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2667564901) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 56756677 + ... + 56756723.

Almost surely, 2^2667564900 is an apocalyptic number.

2667564900 is a gapful number since it is divisible by the number (20) 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 2667564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034488768).

2667564900 is an abundant number, since it is smaller than the sum of its proper divisors (9401412636).

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

2667564900 is a wasteful number, since it uses less digits than its factorization.

2667564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2667564900 is about 51648.4743240301. The cubic root of 2667564900 is about 1386.8782312748.

The spelling of 2667564900 in words is "two billion, six hundred sixty-seven million, five hundred sixty-four thousand, nine hundred".