2118929400 has 576 divisors, whose sum is σ = 8774438400. Its totient is φ = 447482880.

The previous prime is 2118929387. The next prime is 2118929411. The reversal of 2118929400 is 49298112.

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 143 ways as a sum of consecutive naturals, for example, 12688117 + ... + 12688283.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^2118929400 is an apocalyptic number.

2118929400 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 2118929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2118929400 is an abundant number, since it is smaller than the sum of its proper divisors (6655509000).

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

2118929400 is a wasteful number, since it uses less digits than its factorization.

2118929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2118929400 is about 46031.8302916580. The cubic root of 2118929400 is about 1284.4153749717.

The spelling of 2118929400 in words is "two billion, one hundred eighteen million, nine hundred twenty-nine thousand, four hundred".