2667231984 has 80 divisors (see below), whose sum is σ = 7216180992. Its totient is φ = 847317504.

The previous prime is 2667231979. The next prime is 2667231991. The reversal of 2667231984 is 4891327662.

It is a super-2 number, since 2×2667231984² = 14228252912945152512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308164 + ... + 316700.

Almost surely, 2^2667231984 is an apocalyptic number.

2667231984 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 2667231984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608090496).

2667231984 is an abundant number, since it is smaller than the sum of its proper divisors (4548949008).

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

2667231984 is a wasteful number, since it uses less digits than its factorization.

2667231984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8848 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2667231984 is about 51645.2513209104. The cubic root of 2667231984 is about 1386.8205340642.

The spelling of 2667231984 in words is "two billion, six hundred sixty-seven million, two hundred thirty-one thousand, nine hundred eighty-four".