2667987504 has 160 divisors (see below), whose sum is σ = 9425507840. Its totient is φ = 703634688.

The previous prime is 2667987481. The next prime is 2667987521. The reversal of 2667987504 is 4057897662.

2667987504 is a `hidden beast` number, since 2 + 66 + 79 + 8 + 7 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5379 + ... + 73245.

It is an arithmetic number, because the mean of its divisors is an integer number (58909424).

Almost surely, 2^2667987504 is an apocalyptic number.

2667987504 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 2667987504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712753920).

2667987504 is an abundant number, since it is smaller than the sum of its proper divisors (6757520336).

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

2667987504 is a wasteful number, since it uses less digits than its factorization.

2667987504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67904 (or 67892 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2667987504 is about 51652.5653186751. The cubic root of 2667987504 is about 1386.9514652744.

The spelling of 2667987504 in words is "two billion, six hundred sixty-seven million, nine hundred eighty-seven thousand, five hundred four".