2560743000 has 96 divisors (see below), whose sum is σ = 8655341760. Its totient is φ = 682862400.

The previous prime is 2560742981. The next prime is 2560743001. The reversal of 2560743000 is 3470652.

It is a happy number.

2560743000 is a `hidden beast` number, since 2 + 560 + 74 + 30 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560743001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133264 + ... + 151263.

It is an arithmetic number, because the mean of its divisors is an integer number (90159810).

Almost surely, 2^2560743000 is an apocalyptic number.

2560743000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560743000 is an abundant number, since it is smaller than the sum of its proper divisors (6094598760).

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

2560743000 is a wasteful number, since it uses less digits than its factorization.

2560743000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284554 (or 284537 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2560743000 is about 50603.7844434584. The cubic root of 2560743000 is about 1368.1130895531.

The spelling of 2560743000 in words is "two billion, five hundred sixty million, seven hundred forty-three thousand".