2048939867520 has 2560 divisors, whose sum is σ = 9875456236800. Its totient is φ = 392398110720.

The previous prime is 2048939867509. The next prime is 2048939867531. The reversal of 2048939867520 is 257689398402.

2048939867520 is a `hidden beast` number, since 2 + 0 + 48 + 9 + 3 + 9 + 8 + 67 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2048939867509) and next prime (2048939867531).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2325697480 + ... + 2325698360.

Almost surely, 2^{2048939867520} is an apocalyptic number.

2048939867520 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 2048939867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937728118400).

2048939867520 is an abundant number, since it is smaller than the sum of its proper divisors (7826516369280).

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

2048939867520 is a wasteful number, since it uses less digits than its factorization.

2048939867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2048939867520 in words is "two trillion, forty-eight billion, nine hundred thirty-nine million, eight hundred sixty-seven thousand, five hundred twenty".