2506400415661 has 8 divisors (see below), whose sum is σ = 2523257174880. Its totient is φ = 2489575373712.

The previous prime is 2506400415653. The next prime is 2506400415667. The reversal of 2506400415661 is 1665140046052.

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

It is a cyclic number.

It is not a de Polignac number, because 2506400415661 - 2³ = 2506400415653 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 (2506400415667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7770730 + ... + 8086843.

It is an arithmetic number, because the mean of its divisors is an integer number (315407146860).

Almost surely, 2^{2506400415661} is an apocalyptic number.

It is an amenable number.

2506400415661 is a deficient number, since it is larger than the sum of its proper divisors (16856759219).

2506400415661 is a wasteful number, since it uses less digits than its factorization.

2506400415661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858635.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2506400415661 in words is "two trillion, five hundred six billion, four hundred million, four hundred fifteen thousand, six hundred sixty-one".