2691928249344 has 704 divisors, whose sum is σ = 8568905760000. Its totient is φ = 832359628800.

The previous prime is 2691928249289. The next prime is 2691928249357. The reversal of 2691928249344 is 4439428291962.

2691928249344 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 9 + 282 + 4 + 9 + 344 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5995385632 + ... + 5995386080.

Almost surely, 2^{2691928249344} is an apocalyptic number.

2691928249344 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 2691928249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284452880000).

2691928249344 is an abundant number, since it is smaller than the sum of its proper divisors (5876977510656).

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

2691928249344 is a wasteful number, since it uses less digits than its factorization.

2691928249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 687 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 2691928249344 in words is "two trillion, six hundred ninety-one billion, nine hundred twenty-eight million, two hundred forty-nine thousand, three hundred forty-four".