2111981400 has 144 divisors (see below), whose sum is σ = 7510066200. Its totient is φ = 530058240.

The previous prime is 2111981369. The next prime is 2111981411. The reversal of 2111981400 is 41891112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3910 + ... + 65109.

Almost surely, 2^2111981400 is an apocalyptic number.

2111981400 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 2111981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755033100).

2111981400 is an abundant number, since it is smaller than the sum of its proper divisors (5398084800).

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

2111981400 is a wasteful number, since it uses less digits than its factorization.

2111981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69058 (or 69046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 2111981400 is about 45956.2988065836. The cubic root of 2111981400 is about 1283.0099655644.

The spelling of 2111981400 in words is "two billion, one hundred eleven million, nine hundred eighty-one thousand, four hundred".