2561406760 has 64 divisors (see below), whose sum is σ = 6292339200. Its totient is φ = 930643200.

The previous prime is 2561406751. The next prime is 2561406761. The reversal of 2561406760 is 676041652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2561406761) 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 15 ways as a sum of consecutive naturals, for example, 940681 + ... + 943399.

It is an arithmetic number, because the mean of its divisors is an integer number (98317800).

Almost surely, 2^2561406760 is an apocalyptic number.

2561406760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561406760 is an abundant number, since it is smaller than the sum of its proper divisors (3730932440).

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

2561406760 is a wasteful number, since it uses less digits than its factorization.

2561406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2561406760 is about 50610.3424212878. The cubic root of 2561406760 is about 1368.2312870572.

The spelling of 2561406760 in words is "two billion, five hundred sixty-one million, four hundred six thousand, seven hundred sixty".