2667981888 has 560 divisors, whose sum is σ = 9603760320. Its totient is φ = 721612800.

The previous prime is 2667981871. The next prime is 2667981907. The reversal of 2667981888 is 8881897662.

Its product of digits (18579456) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43737378 + ... + 43737438.

It is an arithmetic number, because the mean of its divisors is an integer number (17149572).

Almost surely, 2^2667981888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801880160).

2667981888 is an abundant number, since it is smaller than the sum of its proper divisors (6935778432).

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

2667981888 is a wasteful number, since it uses less digits than its factorization.

2667981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 2667981888 is about 51652.5109554221. The cubic root of 2667981888 is about 1386.9504921158.

The spelling of 2667981888 in words is "two billion, six hundred sixty-seven million, nine hundred eighty-one thousand, eight hundred eighty-eight".