2780769694096 has 135 divisors (see below), whose sum is σ = 5797779688099. Its totient is φ = 1291788457984.

The previous prime is 2780769694067. The next prime is 2780769694111. The reversal of 2780769694096 is 6904969670872.

The square root of 2780769694096 is 1667564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 388921860496 + 2391847833600 = 623636^2 + 1546560^2 .

It is a super-2 number, since 2×2780769694096² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15535026135 + ... + 15535026313.

Almost surely, 2^{2780769694096} is an apocalyptic number.

2780769694096 is the 1667564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780769694096

2780769694096 is an abundant number, since it is smaller than the sum of its proper divisors (3017009994003).

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

2780769694096 is an equidigital number, since it uses as much as digits as its factorization.

2780769694096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 73.

The spelling of 2780769694096 in words is "two trillion, seven hundred eighty billion, seven hundred sixty-nine million, six hundred ninety-four thousand, ninety-six".