2642000035653 has 48 divisors (see below), whose sum is σ = 4276052254656. Its totient is φ = 1557796561920.

The previous prime is 2642000035627. The next prime is 2642000035663. The reversal of 2642000035653 is 3565300002462.

2642000035653 is a `hidden beast` number, since 2 + 642 + 0 + 0 + 0 + 0 + 3 + 5 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 2642000035653 - 2⁶ = 2642000035589 is a prime.

It is a super-2 number, since 2×2642000035653² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642000035603) 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 47 ways as a sum of consecutive naturals, for example, 52527925 + ... + 52578197.

It is an arithmetic number, because the mean of its divisors is an integer number (89084421972).

Almost surely, 2^{2642000035653} is an apocalyptic number.

It is an amenable number.

2642000035653 is a deficient number, since it is larger than the sum of its proper divisors (1634052219003).

2642000035653 is a wasteful number, since it uses less digits than its factorization.

2642000035653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64674 (or 64671 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2642000035653 in words is "two trillion, six hundred forty-two billion, thirty-five thousand, six hundred fifty-three".