2390784144 has 160 divisors (see below), whose sum is σ = 7176683520. Its totient is φ = 671763456.

The previous prime is 2390784101. The next prime is 2390784161. The reversal of 2390784144 is 4414870932.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2390784096 and 2390784105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7638132 + ... + 7638444.

It is an arithmetic number, because the mean of its divisors is an integer number (44854272).

Almost surely, 2^2390784144 is an apocalyptic number.

2390784144 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 2390784144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588341760).

2390784144 is an abundant number, since it is smaller than the sum of its proper divisors (4785899376).

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

2390784144 is a wasteful number, since it uses less digits than its factorization.

2390784144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2390784144 is about 48895.6454502852. The cubic root of 2390784144 is about 1337.1499803686.

The spelling of 2390784144 in words is "two billion, three hundred ninety million, seven hundred eighty-four thousand, one hundred forty-four".