2978100 has 72 divisors (see below), whose sum is σ = 9582720. Its totient is φ = 793440.

The previous prime is 2978089. The next prime is 2978113. The reversal of 2978100 is 18792.

2978100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2978100² = 17738159220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2149 + ... + 3251.

2^2978100 is an apocalyptic number.

2978100 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 2978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360).

2978100 is an abundant number, since it is smaller than the sum of its proper divisors (6604620).

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

2978100 is a wasteful number, since it uses less digits than its factorization.

2978100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2978100 is about 1725.7172421924. The cubic root of 2978100 is about 143.8731521830.

The spelling of 2978100 in words is "two million, nine hundred seventy-eight thousand, one hundred".