2691920335104 has 2160 divisors, whose sum is σ = 11140834231296. Its totient is φ = 635417395200.

The previous prime is 2691920335061. The next prime is 2691920335171. The reversal of 2691920335104 is 4015330291962.

2691920335104 is a `hidden beast` number, since 2 + 6 + 91 + 9 + 203 + 351 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2691920335104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14093823649 + ... + 14093823839.

Almost surely, 2^{2691920335104} is an apocalyptic number.

2691920335104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2691920335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570417115648).

2691920335104 is an abundant number, since it is smaller than the sum of its proper divisors (8448913896192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2691920335104 is a wasteful number, since it uses less digits than its factorization.

2691920335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2691920335104 in words is "two trillion, six hundred ninety-one billion, nine hundred twenty million, three hundred thirty-five thousand, one hundred four".