2049704595648 has 784 divisors, whose sum is σ = 6542209070496. Its totient is φ = 635835432960.

The previous prime is 2049704595613. The next prime is 2049704595649. The reversal of 2049704595648 is 8465954079402.

2049704595648 is a `hidden beast` number, since 2 + 0 + 4 + 97 + 0 + 459 + 56 + 48 = 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 not an unprimeable number, because it can be changed into a prime (2049704595649) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3934173628 + ... + 3934174148.

Almost surely, 2^{2049704595648} 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 2049704595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271104535248).

2049704595648 is an abundant number, since it is smaller than the sum of its proper divisors (4492504474848).

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

2049704595648 is an equidigital number, since it uses as much as digits as its factorization.

2049704595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2049704595648 in words is "two trillion, forty-nine billion, seven hundred four million, five hundred ninety-five thousand, six hundred forty-eight".