2048770825920 has 896 divisors, whose sum is σ = 8909667809280. Its totient is φ = 431580856320.

The previous prime is 2048770825891. The next prime is 2048770825931. The reversal of 2048770825920 is 295280778402.

2048770825920 is a `hidden beast` number, since 2 + 0 + 48 + 7 + 7 + 0 + 8 + 2 + 592 + 0 = 666.

It is a super-3 number, since 3×2048770825920³ (a number of 38 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 607761835 + ... + 607765205.

It is an arithmetic number, because the mean of its divisors is an integer number (9943825680).

Almost surely, 2^{2048770825920} is an apocalyptic number.

2048770825920 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 2048770825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454833904640).

2048770825920 is an abundant number, since it is smaller than the sum of its proper divisors (6860896983360).

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

2048770825920 is a wasteful number, since it uses less digits than its factorization.

2048770825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2048770825920 in words is "two trillion, forty-eight billion, seven hundred seventy million, eight hundred twenty-five thousand, nine hundred twenty".