2129351400 has 576 divisors, whose sum is σ = 8311343040. Its totient is φ = 483840000.

The previous prime is 2129351377. The next prime is 2129351429. The reversal of 2129351400 is 41539212.

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 143 ways as a sum of consecutive naturals, for example, 34907370 + ... + 34907430.

It is an arithmetic number, because the mean of its divisors is an integer number (14429415).

Almost surely, 2^2129351400 is an apocalyptic number.

2129351400 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 2129351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155671520).

2129351400 is an abundant number, since it is smaller than the sum of its proper divisors (6181991640).

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

2129351400 is a wasteful number, since it uses less digits than its factorization.

2129351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2129351400 is about 46144.8957090597. The cubic root of 2129351400 is about 1286.5177401376.

The spelling of 2129351400 in words is "two billion, one hundred twenty-nine million, three hundred fifty-one thousand, four hundred".