2561963040 has 960 divisors, whose sum is σ = 11858313600. Its totient is φ = 512096256.

The previous prime is 2561963017. The next prime is 2561963051. The reversal of 2561963040 is 403691652.

It is a happy number.

2561963040 is a `hidden beast` number, since 2 + 5 + 6 + 19 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2561962986 and 2561963004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134840151 + ... + 134840169.

It is an arithmetic number, because the mean of its divisors is an integer number (12352410).

Almost surely, 2^2561963040 is an apocalyptic number.

2561963040 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 2561963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929156800).

2561963040 is an abundant number, since it is smaller than the sum of its proper divisors (9296350560).

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

2561963040 is a wasteful number, since it uses less digits than its factorization.

2561963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2561963040 is about 50615.8378375781. The cubic root of 2561963040 is about 1368.3303295860.

The spelling of 2561963040 in words is "two billion, five hundred sixty-one million, nine hundred sixty-three thousand, forty".