2982834624 has 672 divisors, whose sum is σ = 11091306240. Its totient is φ = 696729600.

The previous prime is 2982834611. The next prime is 2982834653. The reversal of 2982834624 is 4264382892.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 72752044 + ... + 72752084.

It is an arithmetic number, because the mean of its divisors is an integer number (16504920).

Almost surely, 2^2982834624 is an apocalyptic number.

2982834624 is a gapful number since it is divisible by the number (24) 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 2982834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545653120).

2982834624 is an abundant number, since it is smaller than the sum of its proper divisors (8108471616).

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

2982834624 is a wasteful number, since it uses less digits than its factorization.

2982834624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2982834624 is about 54615.3332316118. Note that the first 3 decimals coincide. The cubic root of 2982834624 is about 1439.4935564742.

The spelling of 2982834624 in words is "two billion, nine hundred eighty-two million, eight hundred thirty-four thousand, six hundred twenty-four".