2949576100 has 27 divisors (see below), whose sum is σ = 6401758881. Its totient is φ = 1179613200.

The previous prime is 2949576073. The next prime is 2949576103. The reversal of 2949576100 is 16759492.

It is a happy number.

The square root of 2949576100 is 54310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1061847396 + 1887728704 = 32586^2 + 43448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2949576103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540385 + ... + 545815.

Almost surely, 2^2949576100 is an apocalyptic number.

2949576100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2949576100 is the 54310-th square number.

It is an amenable number.

2949576100 is an abundant number, since it is smaller than the sum of its proper divisors (3452182781).

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

2949576100 is an frugal number, since it uses more digits than its factorization.

2949576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The cubic root of 2949576100 is about 1434.1234433537.

The spelling of 2949576100 in words is "two billion, nine hundred forty-nine million, five hundred seventy-six thousand, one hundred".