2979900 has 216 divisors, whose sum is σ = 11915904. Its totient is φ = 604800.

The previous prime is 2979877. The next prime is 2979901. The reversal of 2979900 is 99792.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69279 + ... + 69321.

2^2979900 is an apocalyptic number.

2979900 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 2979900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952).

2979900 is an abundant number, since it is smaller than the sum of its proper divisors (8936004).

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

2979900 is a wasteful number, since it uses less digits than its factorization.

2979900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 2979900 is about 1726.2386856979. The cubic root of 2979900 is about 143.9021325750.

The spelling of 2979900 in words is "two million, nine hundred seventy-nine thousand, nine hundred".