2048856768 has 280 divisors, whose sum is σ = 7010302464. Its totient is φ = 579571200.

The previous prime is 2048856737. The next prime is 2048856781. The reversal of 2048856768 is 8676588402.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4753513 + ... + 4753943.

Almost surely, 2^2048856768 is an apocalyptic number.

2048856768 is a gapful number since it is divisible by the number (28) 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 2048856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505151232).

2048856768 is an abundant number, since it is smaller than the sum of its proper divisors (4961445696).

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

2048856768 is a wasteful number, since it uses less digits than its factorization.

2048856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2048856768 is about 45264.2990446113. The cubic root of 2048856768 is about 1270.0979047015.

The spelling of 2048856768 in words is "two billion, forty-eight million, eight hundred fifty-six thousand, seven hundred sixty-eight".