2567946240 has 420 divisors, whose sum is σ = 9454983384. Its totient is φ = 668860416.

The previous prime is 2567946239. The next prime is 2567946257. The reversal of 2567946240 is 426497652.

2567946240 is a `hidden beast` number, since 2 + 567 + 9 + 46 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719659 + ... + 59719701.

Almost surely, 2^2567946240 is an apocalyptic number.

2567946240 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 2567946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727491692).

2567946240 is an abundant number, since it is smaller than the sum of its proper divisors (6887037144).

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

2567946240 is an frugal number, since it uses more digits than its factorization.

2567946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2567946240 is about 50674.9074000141. The cubic root of 2567946240 is about 1369.3946994804.

The spelling of 2567946240 in words is "two billion, five hundred sixty-seven million, nine hundred forty-six thousand, two hundred forty".