2990624 has 72 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 1168128.

The previous prime is 2990609. The next prime is 2990629. The reversal of 2990624 is 4260992.

2990624 = T₂₃₇ + T₂₃₈ + ... + T₃₁₄.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2990629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37817 + ... + 37895.

It is an arithmetic number, because the mean of its divisors is an integer number (102480).

2^2990624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2990624 is an abundant number, since it is smaller than the sum of its proper divisors (4387936).

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

2990624 is a wasteful number, since it uses less digits than its factorization.

2990624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2990624 is about 1729.3420714249. The cubic root of 2990624 is about 144.0745498757.

The spelling of 2990624 in words is "two million, nine hundred ninety thousand, six hundred twenty-four".