2949212700 has 576 divisors, whose sum is σ = 11729249280. Its totient is φ = 620421120.

The previous prime is 2949212657. The next prime is 2949212723. The reversal of 2949212700 is 72129492.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21527032 + ... + 21527168.

It is an arithmetic number, because the mean of its divisors is an integer number (20363280).

Almost surely, 2^2949212700 is an apocalyptic number.

2949212700 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 2949212700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864624640).

2949212700 is an abundant number, since it is smaller than the sum of its proper divisors (8780036580).

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

2949212700 is a wasteful number, since it uses less digits than its factorization.

2949212700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2949212700 is about 54306.6542884019. The cubic root of 2949212700 is about 1434.0645442841.

The spelling of 2949212700 in words is "two billion, nine hundred forty-nine million, two hundred twelve thousand, seven hundred".