2813425920 has 288 divisors, whose sum is σ = 10078064640. Its totient is φ = 743178240.

The previous prime is 2813425891. The next prime is 2813425949. The reversal of 2813425920 is 295243182.

It is a happy number.

2813425920 is a `hidden beast` number, since 28 + 1 + 3 + 42 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2813425891) and next prime (2813425949).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388800 + ... + 4389440.

It is an arithmetic number, because the mean of its divisors is an integer number (34993280).

Almost surely, 2^2813425920 is an apocalyptic number.

2813425920 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 2813425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039032320).

2813425920 is an abundant number, since it is smaller than the sum of its proper divisors (7264638720).

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

2813425920 is a wasteful number, since it uses less digits than its factorization.

2813425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2813425920 is about 53041.7375281014. The cubic root of 2813425920 is about 1411.7089283845.

It can be divided in two parts, 281 and 3425920, that added together give a square (3426201 = 1851²).

The spelling of 2813425920 in words is "two billion, eight hundred thirteen million, four hundred twenty-five thousand, nine hundred twenty".