2048858976960 has 336 divisors, whose sum is σ = 7110827942400. Its totient is φ = 541445548032.

The previous prime is 2048858976959. The next prime is 2048858976973. The reversal of 2048858976960 is 696798588402.

2048858976960 is a `hidden beast` number, since 2 + 0 + 488 + 5 + 89 + 7 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234983481 + ... + 234992199.

It is an arithmetic number, because the mean of its divisors is an integer number (21163178400).

Almost surely, 2^{2048858976960} is an apocalyptic number.

2048858976960 is a gapful number since it is divisible by the number (20) 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 2048858976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555413971200).

2048858976960 is an abundant number, since it is smaller than the sum of its proper divisors (5061968965440).

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

2048858976960 is a wasteful number, since it uses less digits than its factorization.

2048858976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 2048858976960 in words is "two trillion, forty-eight billion, eight hundred fifty-eight million, nine hundred seventy-six thousand, nine hundred sixty".