2556065940 has 192 divisors, whose sum is σ = 7878850560. Its totient is φ = 616366080.

The previous prime is 2556065929. The next prime is 2556065951. The reversal of 2556065940 is 495606552.

It is an interprime number because it is at equal distance from previous prime (2556065929) and next prime (2556065951).

It is a junction number, because it is equal to n+sod(n) for n = 2556065892 and 2556065901.

It is a congruent number.

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, 7240804 + ... + 7241156.

It is an arithmetic number, because the mean of its divisors is an integer number (41035680).

Almost surely, 2^2556065940 is an apocalyptic number.

2556065940 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 2556065940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939425280).

2556065940 is an abundant number, since it is smaller than the sum of its proper divisors (5322784620).

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

2556065940 is a wasteful number, since it uses less digits than its factorization.

2556065940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 2556065940 is about 50557.5507713734. The cubic root of 2556065940 is about 1367.2796534995.

The spelling of 2556065940 in words is "two billion, five hundred fifty-six million, sixty-five thousand, nine hundred forty".