2984519790 has 256 divisors, whose sum is σ = 9634775040. Its totient is φ = 642660480.

The previous prime is 2984519771. The next prime is 2984519803. The reversal of 2984519790 is 979154892.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3085887 + ... + 3086853.

It is an arithmetic number, because the mean of its divisors is an integer number (37635840).

Almost surely, 2^2984519790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984519790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817387520).

2984519790 is an abundant number, since it is smaller than the sum of its proper divisors (6650255250).

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

2984519790 is a wasteful number, since it uses less digits than its factorization.

2984519790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 2984519790 is about 54630.7586438263. The cubic root of 2984519790 is about 1439.7645882530.

The spelling of 2984519790 in words is "two billion, nine hundred eighty-four million, five hundred nineteen thousand, seven hundred ninety".