2944964888100 has 81 divisors (see below), whose sum is σ = 9230990205073. Its totient is φ = 785310241440.

The previous prime is 2944964888081. The next prime is 2944964888123. The reversal of 2944964888100 is 18884694492.

The square root of 2944964888100 is 1716090.

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

2944964888100 is a `hidden beast` number, since 2 + 9 + 4 + 49 + 6 + 488 + 8 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060187359716 + 1884777528384 = 1029654^2 + 1372872^2 .

It is a super-2 number, since 2×2944964888100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51454099 + ... + 51511301.

Almost surely, 2^{2944964888100} is an apocalyptic number.

2944964888100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2944964888100 is the 1716090-th square number.

It is an amenable number.

2944964888100 is an abundant number, since it is smaller than the sum of its proper divisors (6286025316973).

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

2944964888100 is an frugal number, since it uses more digits than its factorization.

2944964888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114426 (or 57213 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 2944964888100 in words is "two trillion, nine hundred forty-four billion, nine hundred sixty-four million, eight hundred eighty-eight thousand, one hundred".