2567970540 has 144 divisors (see below), whose sum is σ = 8108755200. Its totient is φ = 682188480.

The previous prime is 2567970527. The next prime is 2567970563. The reversal of 2567970540 is 450797652.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510611 + ... + 1512309.

It is an arithmetic number, because the mean of its divisors is an integer number (56310800).

Almost surely, 2^2567970540 is an apocalyptic number.

2567970540 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 2567970540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054377600).

2567970540 is an abundant number, since it is smaller than the sum of its proper divisors (5540784660).

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

2567970540 is a wasteful number, since it uses less digits than its factorization.

2567970540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2567970540 is about 50675.1471630818. The cubic root of 2567970540 is about 1369.3990189096.

The spelling of 2567970540 in words is "two billion, five hundred sixty-seven million, nine hundred seventy thousand, five hundred forty".