2251417640607 has 32 divisors (see below), whose sum is σ = 3359735366400. Its totient is φ = 1490011244064.

The previous prime is 2251417640587. The next prime is 2251417640623. The reversal of 2251417640607 is 7060467141522.

2251417640607 is a `hidden beast` number, since 2 + 2 + 514 + 1 + 76 + 4 + 0 + 60 + 7 = 666.

It is not a de Polignac number, because 2251417640607 - 2²⁰ = 2251416592031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251417641607) 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 31 ways as a sum of consecutive naturals, for example, 57127233 + ... + 57166629.

It is an arithmetic number, because the mean of its divisors is an integer number (104991730200).

Almost surely, 2^{2251417640607} is an apocalyptic number.

2251417640607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2251417640607 is a deficient number, since it is larger than the sum of its proper divisors (1108317725793).

2251417640607 is a wasteful number, since it uses less digits than its factorization.

2251417640607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54772 (or 54766 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2251417640607 in words is "two trillion, two hundred fifty-one billion, four hundred seventeen million, six hundred forty thousand, six hundred seven".