2990640 has 80 divisors (see below), whose sum is σ = 9829728. Its totient is φ = 749568.

The previous prime is 2990639. The next prime is 2990677. The reversal of 2990640 is 460992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2990598 and 2990607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 4446.

2^2990640 is an apocalyptic number.

2990640 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 2990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914864).

2990640 is an abundant number, since it is smaller than the sum of its proper divisors (6839088).

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

2990640 is a wasteful number, since it uses less digits than its factorization.

2990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2990640 is about 1729.3466974554. The cubic root of 2990640 is about 144.0748068108.

The spelling of 2990640 in words is "two million, nine hundred ninety thousand, six hundred forty".