2990400 has 168 divisors, whose sum is σ = 11338560. Its totient is φ = 675840.

The previous prime is 2990381. The next prime is 2990401. The reversal of 2990400 is 40992.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33556 + ... + 33644.

2^2990400 is an apocalyptic number.

2990400 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 2990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

2990400 is an abundant number, since it is smaller than the sum of its proper divisors (8348160).

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

2990400 is a wasteful number, since it uses less digits than its factorization.

2990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2990400 is about 1729.2773056974. The cubic root of 2990400 is about 144.0709526883.

The spelling of 2990400 in words is "two million, nine hundred ninety thousand, four hundred".