2990031840 has 384 divisors, whose sum is σ = 10973491200. Its totient is φ = 759490560.

The previous prime is 2990031829. The next prime is 2990031851. The reversal of 2990031840 is 481300992.

It is an interprime number because it is at equal distance from previous prime (2990031829) and next prime (2990031851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2990031795 and 2990031804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11115226 + ... + 11115494.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^2990031840 is an apocalyptic number.

2990031840 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 2990031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

2990031840 is an abundant number, since it is smaller than the sum of its proper divisors (7983459360).

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

2990031840 is a wasteful number, since it uses less digits than its factorization.

2990031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2990031840 is about 54681.1836009427. The cubic root of 2990031840 is about 1440.6504006356.

The spelling of 2990031840 in words is "two billion, nine hundred ninety million, thirty-one thousand, eight hundred forty".