2972700 has 90 divisors (see below), whose sum is σ = 9662576. Its totient is φ = 790560.

The previous prime is 2972693. The next prime is 2972701. The reversal of 2972700 is 72792.

2972700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972701) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 7917 + ... + 8283.

2^2972700 is an apocalyptic number.

2972700 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 2972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831288).

2972700 is an abundant number, since it is smaller than the sum of its proper divisors (6689876).

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

2972700 is a wasteful number, since it uses less digits than its factorization.

2972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2972700 is about 1724.1519654601. The cubic root of 2972700 is about 143.7861408814.

The spelling of 2972700 in words is "two million, nine hundred seventy-two thousand, seven hundred".