2561464101 has 8 divisors (see below), whose sum is σ = 3903183424. Its totient is φ = 1463693760.

The previous prime is 2561464067. The next prime is 2561464111. The reversal of 2561464101 is 1014641652.

2561464101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2561464101 - 2⁷ = 2561463973 is a prime.

It is a super-2 number, since 2×2561464101² = 13122196681423476402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561464111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60987220 + ... + 60987261.

It is an arithmetic number, because the mean of its divisors is an integer number (487897928).

Almost surely, 2^2561464101 is an apocalyptic number.

2561464101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2561464101 is a deficient number, since it is larger than the sum of its proper divisors (1341719323).

2561464101 is a wasteful number, since it uses less digits than its factorization.

2561464101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121974491.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2561464101 is about 50610.9089130002. The cubic root of 2561464101 is about 1368.2414969630.

The spelling of 2561464101 in words is "two billion, five hundred sixty-one million, four hundred sixty-four thousand, one hundred one".