2667534240 has 384 divisors, whose sum is σ = 10112256000. Its totient is φ = 578285568.

The previous prime is 2667534223. The next prime is 2667534281. The reversal of 2667534240 is 424357662.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5345511 + ... + 5346009.

It is an arithmetic number, because the mean of its divisors is an integer number (26334000).

Almost surely, 2^2667534240 is an apocalyptic number.

2667534240 is a gapful number since it is divisible by the number (20) 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 2667534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128000).

2667534240 is an abundant number, since it is smaller than the sum of its proper divisors (7444721760).

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

2667534240 is a wasteful number, since it uses less digits than its factorization.

2667534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2667534240 is about 51648.1775089886. The cubic root of 2667534240 is about 1386.8729178334.

The spelling of 2667534240 in words is "two billion, six hundred sixty-seven million, five hundred thirty-four thousand, two hundred forty".