2561601510 has 192 divisors, whose sum is σ = 7507019520. Its totient is φ = 624723840.

The previous prime is 2561601509. The next prime is 2561601533. The reversal of 2561601510 is 151061652.

It is a happy number.

2561601510 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 601 + 51 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4137981 + ... + 4138599.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^2561601510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561601510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2561601510 is an abundant number, since it is smaller than the sum of its proper divisors (4945418010).

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

2561601510 is a wasteful number, since it uses less digits than its factorization.

2561601510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2561601510 is about 50612.2663985718. The cubic root of 2561601510 is about 1368.2659628318.

The spelling of 2561601510 in words is "two billion, five hundred sixty-one million, six hundred one thousand, five hundred ten".