2993400 has 72 divisors (see below), whose sum is σ = 10058880. Its totient is φ = 797760.

The previous prime is 2993399. The next prime is 2993407. The reversal of 2993400 is 43992.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 969 + ... + 2631.

2^2993400 is an apocalyptic number.

2993400 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 2993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029440).

2993400 is an abundant number, since it is smaller than the sum of its proper divisors (7065480).

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

2993400 is a wasteful number, since it uses less digits than its factorization.

2993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2993400 is about 1730.1445026355. The cubic root of 2993400 is about 144.1191144063.

The spelling of 2993400 in words is "two million, nine hundred ninety-three thousand, four hundred".