2667249936 has 180 divisors, whose sum is σ = 8156049408. Its totient is φ = 813286656.

The previous prime is 2667249919. The next prime is 2667249941. The reversal of 2667249936 is 6399427662.

It is a super-2 number, since 2×2667249936² = 14228444442184008192, which contains 22 as substring.

Its product of digits (5878656) is a multiple of the sum of its prime divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3090241 + ... + 3091103.

Almost surely, 2^2667249936 is an apocalyptic number.

2667249936 is a gapful number since it is divisible by the number (26) 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 2667249936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078024704).

2667249936 is an abundant number, since it is smaller than the sum of its proper divisors (5488799472).

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

2667249936 is a wasteful number, since it uses less digits than its factorization.

2667249936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1008 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2667249936 is about 51645.4251216891. The cubic root of 2667249936 is about 1386.8236454229.

The spelling of 2667249936 in words is "two billion, six hundred sixty-seven million, two hundred forty-nine thousand, nine hundred thirty-six".