2664400025401 has 9 divisors (see below), whose sum is σ = 2708895991503. Its totient is φ = 2620623398520.

The previous prime is 2664400025387. The next prime is 2664400025527. The reversal of 2664400025401 is 1045200044662.

The square root of 2664400025401 is 1632299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86641333801 + 2577758691600 = 294349^2 + 1605540^2 .

It is not a de Polignac number, because 2664400025401 - 2¹⁵ = 2664399992633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2664400025101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99556860 + ... + 99583618.

Almost surely, 2^{2664400025401} is an apocalyptic number.

2664400025401 is the 1632299-th square number.

2664400025401 is the 816150-th centered octagonal number.

It is an amenable number.

2664400025401 is a deficient number, since it is larger than the sum of its proper divisors (44495966102).

2664400025401 is an frugal number, since it uses more digits than its factorization.

2664400025401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53640 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 2664400025401 in words is "two trillion, six hundred sixty-four billion, four hundred million, twenty-five thousand, four hundred one".