2100924000 has 576 divisors, whose sum is σ = 8918320320. Its totient is φ = 479001600.

The previous prime is 2100923987. The next prime is 2100924041. The reversal of 2100924000 is 4290012.

2100924000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291802 + ... + 5292198.

It is an arithmetic number, because the mean of its divisors is an integer number (15483195).

Almost surely, 2^2100924000 is an apocalyptic number.

2100924000 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 2100924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459160160).

2100924000 is an abundant number, since it is smaller than the sum of its proper divisors (6817396320).

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

2100924000 is a wasteful number, since it uses less digits than its factorization.

2100924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100924000 is about 45835.8375073479. The cubic root of 2100924000 is about 1280.7669557251.

The spelling of 2100924000 in words is "two billion, one hundred million, nine hundred twenty-four thousand".