2823034738320 has 400 divisors, whose sum is σ = 10716474244608. Its totient is φ = 685669847040.

The previous prime is 2823034738313. The next prime is 2823034738361. The reversal of 2823034738320 is 238374303282.

2823034738320 is a `hidden beast` number, since 2 + 8 + 230 + 34 + 7 + 383 + 2 + 0 = 666.

It is a super-2 number, since 2×2823034738320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3001627 + ... + 3828293.

Almost surely, 2^{2823034738320} is an apocalyptic number.

2823034738320 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 2823034738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358237122304).

2823034738320 is an abundant number, since it is smaller than the sum of its proper divisors (7893439506288).

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

2823034738320 is a wasteful number, since it uses less digits than its factorization.

2823034738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826740 (or 826725 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2823034738320 in words is "two trillion, eight hundred twenty-three billion, thirty-four million, seven hundred thirty-eight thousand, three hundred twenty".