2002782074657 has 64 divisors (see below), whose sum is σ = 2573711132160. Its totient is φ = 1516212504576.

The previous prime is 2002782074617. The next prime is 2002782074693. The reversal of 2002782074657 is 7564702872002.

2002782074657 is an astonishing number since 2002782074657 = 74657 + ... + 2002782.

It is not a de Polignac number, because 2002782074657 - 2⁶ = 2002782074593 is a prime.

It is a super-2 number, since 2×2002782074657² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002782074617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139181219 + ... + 139195607.

It is an arithmetic number, because the mean of its divisors is an integer number (40214236440).

Almost surely, 2^{2002782074657} is an apocalyptic number.

It is an amenable number.

2002782074657 is a deficient number, since it is larger than the sum of its proper divisors (570929057503).

2002782074657 is a wasteful number, since it uses less digits than its factorization.

2002782074657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130.

The product of its (nonzero) digits is 2634240, while the sum is 50.

The spelling of 2002782074657 in words is "two trillion, two billion, seven hundred eighty-two million, seventy-four thousand, six hundred fifty-seven".