2635509029968 has 40 divisors (see below), whose sum is σ = 5234786202240. Its totient is φ = 1284644924160.

The previous prime is 2635509029947. The next prime is 2635509029999. The reversal of 2635509029968 is 8699209055362.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643258 + ... + 2384281.

It is an arithmetic number, because the mean of its divisors is an integer number (130869655056).

Almost surely, 2^{2635509029968} is an apocalyptic number.

It is an amenable number.

2635509029968 is a deficient number, since it is larger than the sum of its proper divisors (2599277172272).

2635509029968 is a wasteful number, since it uses less digits than its factorization.

2635509029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028915 (or 3028909 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

The spelling of 2635509029968 in words is "two trillion, six hundred thirty-five billion, five hundred nine million, twenty-nine thousand, nine hundred sixty-eight".