2818537920 has 168 divisors, whose sum is σ = 10576041840. Its totient is φ = 683274240.

The previous prime is 2818537901. The next prime is 2818537951. The reversal of 2818537920 is 297358182.

It is a happy number.

2818537920 is a `hidden beast` number, since 28 + 1 + 8 + 537 + 92 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 12805 + ... + 76164.

It is an arithmetic number, because the mean of its divisors is an integer number (62952630).

Almost surely, 2^2818537920 is an apocalyptic number.

2818537920 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 2818537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288020920).

2818537920 is an abundant number, since it is smaller than the sum of its proper divisors (7757503920).

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

2818537920 is a wasteful number, since it uses less digits than its factorization.

2818537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89003 (or 88990 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2818537920 is about 53089.9041249841. The cubic root of 2818537920 is about 1412.5634369400.

The spelling of 2818537920 in words is "two billion, eight hundred eighteen million, five hundred thirty-seven thousand, nine hundred twenty".