2830220374032 has 480 divisors, whose sum is σ = 8537680220160. Its totient is φ = 907121410560.

The previous prime is 2830220373923. The next prime is 2830220374057. The reversal of 2830220374032 is 2304730220382.

2830220374032 is a `hidden beast` number, since 2 + 8 + 30 + 220 + 374 + 0 + 32 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3120418923 + ... + 3120419829.

It is an arithmetic number, because the mean of its divisors is an integer number (17786833792).

Almost surely, 2^{2830220374032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830220374032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268840110080).

2830220374032 is an abundant number, since it is smaller than the sum of its proper divisors (5707459846128).

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

2830220374032 is a wasteful number, since it uses less digits than its factorization.

2830220374032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2830220374032 in words is "two trillion, eight hundred thirty billion, two hundred twenty million, three hundred seventy-four thousand, thirty-two".