2868253920 has 576 divisors, whose sum is σ = 11804921856. Its totient is φ = 620421120.

The previous prime is 2868253901. The next prime is 2868253943. The reversal of 2868253920 is 293528682.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20936092 + ... + 20936228.

It is an arithmetic number, because the mean of its divisors is an integer number (20494656).

Almost surely, 2^2868253920 is an apocalyptic number.

2868253920 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 2868253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902460928).

2868253920 is an abundant number, since it is smaller than the sum of its proper divisors (8936667936).

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

2868253920 is a wasteful number, since it uses less digits than its factorization.

2868253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2868253920 is about 53556.0820075554. The cubic root of 2868253920 is about 1420.8204476452.

The spelling of 2868253920 in words is "two billion, eight hundred sixty-eight million, two hundred fifty-three thousand, nine hundred twenty".