2129457300 has 288 divisors, whose sum is σ = 6966220800. Its totient is φ = 499530240.

The previous prime is 2129457293. The next prime is 2129457307. The reversal of 2129457300 is 37549212.

It is an interprime number because it is at equal distance from previous prime (2129457293) and next prime (2129457307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129457307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4850481 + ... + 4850919.

Almost surely, 2^2129457300 is an apocalyptic number.

2129457300 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 2129457300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483110400).

2129457300 is an abundant number, since it is smaller than the sum of its proper divisors (4836763500).

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

2129457300 is a wasteful number, since it uses less digits than its factorization.

2129457300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2129457300 is about 46146.0431673183. The cubic root of 2129457300 is about 1286.5390674410.

The spelling of 2129457300 in words is "two billion, one hundred twenty-nine million, four hundred fifty-seven thousand, three hundred".