2667972888 has 48 divisors (see below), whose sum is σ = 8258012880. Its totient is φ = 762277824.

The previous prime is 2667972887. The next prime is 2667972889. The reversal of 2667972888 is 8882797662.

2667972888 is a `hidden beast` number, since 266 + 7 + 97 + 288 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2667972887) and next prime (2667972889).

It is a super-2 number, since 2×2667972888² = 14236158662206121088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667972887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646295 + ... + 2647302.

It is an arithmetic number, because the mean of its divisors is an integer number (172041935).

Almost surely, 2^2667972888 is an apocalyptic number.

2667972888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2667972888 is an abundant number, since it is smaller than the sum of its proper divisors (5590039992).

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

2667972888 is a wasteful number, since it uses less digits than its factorization.

2667972888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293616 (or 5293609 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 2667972888 is about 51652.4238347050. The cubic root of 2667972888 is about 1386.9489325639.

The spelling of 2667972888 in words is "two billion, six hundred sixty-seven million, nine hundred seventy-two thousand, eight hundred eighty-eight".