2129947600 has 60 divisors (see below), whose sum is σ = 5582410560. Its totient is φ = 774524800.

The previous prime is 2129947579. The next prime is 2129947619. The reversal of 2129947600 is 67499212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 237640 + ... + 246439.

It is an arithmetic number, because the mean of its divisors is an integer number (93040176).

Almost surely, 2^2129947600 is an apocalyptic number.

2129947600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129947600 is an abundant number, since it is smaller than the sum of its proper divisors (3452462960).

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

2129947600 is a wasteful number, since it uses less digits than its factorization.

2129947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484108 (or 484097 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2129947600 is about 46151.3553430449. The cubic root of 2129947600 is about 1286.6378002180.

The spelling of 2129947600 in words is "two billion, one hundred twenty-nine million, nine hundred forty-seven thousand, six hundred".