2561860540120 has 64 divisors (see below), whose sum is σ = 6667010622720. Its totient is φ = 867769620864.

The previous prime is 2561860540117. The next prime is 2561860540123. The reversal of 2561860540120 is 210450681652.

2561860540120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2561860540117) and next prime (2561860540123).

It is a super-2 number, since 2×2561860540120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561860540123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55094242 + ... + 55140721.

It is an arithmetic number, because the mean of its divisors is an integer number (104172040980).

Almost surely, 2^{2561860540120} is an apocalyptic number.

2561860540120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561860540120 is an abundant number, since it is smaller than the sum of its proper divisors (4105150082600).

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

2561860540120 is a wasteful number, since it uses less digits than its factorization.

2561860540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110235064 (or 110235060 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 2561860540120 in words is "two trillion, five hundred sixty-one billion, eight hundred sixty million, five hundred forty thousand, one hundred twenty".