2561620464 has 240 divisors, whose sum is σ = 8151561600. Its totient is φ = 773929728.

The previous prime is 2561620463. The next prime is 2561620513. The reversal of 2561620464 is 4640261652.

2561620464 is a `hidden beast` number, since 25 + 6 + 1 + 620 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561620463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2981667 + ... + 2982525.

It is an arithmetic number, because the mean of its divisors is an integer number (33964840).

Almost surely, 2^2561620464 is an apocalyptic number.

2561620464 is a gapful number since it is divisible by the number (24) 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 2561620464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075780800).

2561620464 is an abundant number, since it is smaller than the sum of its proper divisors (5589941136).

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

2561620464 is a wasteful number, since it uses less digits than its factorization.

2561620464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2561620464 is about 50612.4536453233. The cubic root of 2561620464 is about 1368.2693375499.

The spelling of 2561620464 in words is "two billion, five hundred sixty-one million, six hundred twenty thousand, four hundred sixty-four".