2048837253376 has 81 divisors (see below), whose sum is σ = 4126059352051. Its totient is φ = 1015383781376.

The previous prime is 2048837253371. The next prime is 2048837253401. The reversal of 2048837253376 is 6733527388402.

It is a happy number.

The square root of 2048837253376 is 1431376.

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 76273182976 + 1972564070400 = 276176^2 + 1404480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2048837253376.

It is not an unprimeable number, because it can be changed into a prime (2048837253371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3137575866 + ... + 3137576518.

Almost surely, 2^{2048837253376} is an apocalyptic number.

2048837253376 is the 1431376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048837253376

2048837253376 is an abundant number, since it is smaller than the sum of its proper divisors (2077222098675).

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

2048837253376 is an frugal number, since it uses more digits than its factorization.

2048837253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 2048837253376 in words is "two trillion, forty-eight billion, eight hundred thirty-seven million, two hundred fifty-three thousand, three hundred seventy-six".