2567142240 has 384 divisors, whose sum is σ = 9396559872. Its totient is φ = 583925760.

The previous prime is 2567142229. The next prime is 2567142247. The reversal of 2567142240 is 422417652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567142247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4448832 + ... + 4449408.

It is an arithmetic number, because the mean of its divisors is an integer number (24470208).

Almost surely, 2^2567142240 is an apocalyptic number.

2567142240 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 2567142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698279936).

2567142240 is an abundant number, since it is smaller than the sum of its proper divisors (6829417632).

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

2567142240 is a wasteful number, since it uses less digits than its factorization.

2567142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2567142240 is about 50666.9738587179. The cubic root of 2567142240 is about 1369.2517696629.

Adding to 2567142240 its reverse (422417652), we get a palindrome (2989559892).

The spelling of 2567142240 in words is "two billion, five hundred sixty-seven million, one hundred forty-two thousand, two hundred forty".