2823025920 has 576 divisors, whose sum is σ = 10903382784. Its totient is φ = 613416960.

The previous prime is 2823025879. The next prime is 2823025939. The reversal of 2823025920 is 295203282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29103312 + ... + 29103408.

It is an arithmetic number, because the mean of its divisors is an integer number (18929484).

Almost surely, 2^2823025920 is an apocalyptic number.

2823025920 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 2823025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451691392).

2823025920 is an abundant number, since it is smaller than the sum of its proper divisors (8080356864).

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

2823025920 is a wasteful number, since it uses less digits than its factorization.

2823025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2823025920 is about 53132.1552357892. The cubic root of 2823025920 is about 1413.3127879613.

The spelling of 2823025920 in words is "two billion, eight hundred twenty-three million, twenty-five thousand, nine hundred twenty".