2129468400 has 360 divisors, whose sum is σ = 7892270160. Its totient is φ = 544942080.

The previous prime is 2129468387. The next prime is 2129468431. The reversal of 2129468400 is 48649212.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29170764 + ... + 29170836.

Almost surely, 2^2129468400 is an apocalyptic number.

2129468400 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 2129468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946135080).

2129468400 is an abundant number, since it is smaller than the sum of its proper divisors (5762801760).

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

2129468400 is a wasteful number, since it uses less digits than its factorization.

2129468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2129468400 is about 46146.1634374950. The cubic root of 2129468400 is about 1286.5413028398.

The spelling of 2129468400 in words is "two billion, one hundred twenty-nine million, four hundred sixty-eight thousand, four hundred".