2769920504736 has 192 divisors, whose sum is σ = 9077125026816. Its totient is φ = 718512998400.

The previous prime is 2769920504717. The next prime is 2769920504803. The reversal of 2769920504736 is 6374050299672.

It is a self number, because there is not a number n which added to its sum of digits gives 2769920504736.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5379111 + ... + 5871513.

It is an arithmetic number, because the mean of its divisors is an integer number (47276692848).

Almost surely, 2^{2769920504736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769920504736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538562513408).

2769920504736 is an abundant number, since it is smaller than the sum of its proper divisors (6307204522080).

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

2769920504736 is a wasteful number, since it uses less digits than its factorization.

2769920504736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493195 (or 493187 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 2769920504736 in words is "two trillion, seven hundred sixty-nine billion, nine hundred twenty million, five hundred four thousand, seven hundred thirty-six".