2628401461 has 16 divisors (see below), whose sum is σ = 3170304000. Its totient is φ = 2128727088.

The previous prime is 2628401441. The next prime is 2628401471. The reversal of 2628401461 is 1641048262.

2628401461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2628401461 - 2¹⁵ = 2628368693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628401441) 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, 25140 + ... + 76738.

It is an arithmetic number, because the mean of its divisors is an integer number (198144000).

Almost surely, 2^2628401461 is an apocalyptic number.

It is an amenable number.

2628401461 is a deficient number, since it is larger than the sum of its proper divisors (541902539).

2628401461 is a wasteful number, since it uses less digits than its factorization.

2628401461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52008.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2628401461 is about 51267.9379437090. The cubic root of 2628401461 is about 1380.0576642221.

The spelling of 2628401461 in words is "two billion, six hundred twenty-eight million, four hundred one thousand, four hundred sixty-one".