2506666401 has 24 divisors (see below), whose sum is σ = 3669284736. Its totient is φ = 1648825920.

The previous prime is 2506666397. The next prime is 2506666411. The reversal of 2506666401 is 1046666052.

It is a happy number.

It is not a de Polignac number, because 2506666401 - 2² = 2506666397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2506666411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255676 + ... + 265298.

It is an arithmetic number, because the mean of its divisors is an integer number (152886864).

Almost surely, 2^2506666401 is an apocalyptic number.

It is an amenable number.

2506666401 is a deficient number, since it is larger than the sum of its proper divisors (1162618335).

2506666401 is a wasteful number, since it uses less digits than its factorization.

2506666401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2506666401 is about 50066.6196282513. The cubic root of 2506666401 is about 1358.4140973603.

The spelling of 2506666401 in words is "two billion, five hundred six million, six hundred sixty-six thousand, four hundred one".