2561400735 has 16 divisors (see below), whose sum is σ = 4313938560. Its totient is φ = 1294181280.

The previous prime is 2561400731. The next prime is 2561400767. The reversal of 2561400735 is 5370041652.

It is not a de Polignac number, because 2561400735 - 2² = 2561400731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2561400696 and 2561400705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561400731) 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, 4493401 + ... + 4493970.

It is an arithmetic number, because the mean of its divisors is an integer number (269621160).

Almost surely, 2^2561400735 is an apocalyptic number.

2561400735 is a deficient number, since it is larger than the sum of its proper divisors (1752537825).

2561400735 is a wasteful number, since it uses less digits than its factorization.

2561400735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987398.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2561400735 is about 50610.2828978460. The cubic root of 2561400735 is about 1368.2302142614.

The spelling of 2561400735 in words is "two billion, five hundred sixty-one million, four hundred thousand, seven hundred thirty-five".