2048766720 has 864 divisors, whose sum is σ = 9049065984. Its totient is φ = 383385600.

The previous prime is 2048766703. The next prime is 2048766757. The reversal of 2048766720 is 276678402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49969900 + ... + 49969940.

It is an arithmetic number, because the mean of its divisors is an integer number (10473456).

Almost surely, 2^2048766720 is an apocalyptic number.

2048766720 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 2048766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524532992).

2048766720 is an abundant number, since it is smaller than the sum of its proper divisors (7000299264).

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

2048766720 is a wasteful number, since it uses less digits than its factorization.

2048766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2048766720 is about 45263.3043424803. The cubic root of 2048766720 is about 1270.0792973406.

The spelling of 2048766720 in words is "two billion, forty-eight million, seven hundred sixty-six thousand, seven hundred twenty".