2111400960 has 176 divisors, whose sum is σ = 6825058272. Its totient is φ = 557056000.

The previous prime is 2111400937. The next prime is 2111400971. The reversal of 2111400960 is 690041112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2111400960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550680 + ... + 1552040.

Almost surely, 2^2111400960 is an apocalyptic number.

2111400960 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 2111400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412529136).

2111400960 is an abundant number, since it is smaller than the sum of its proper divisors (4713657312).

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

2111400960 is a wasteful number, since it uses less digits than its factorization.

2111400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2111400960 is about 45949.9832426520. The cubic root of 2111400960 is about 1282.8924174114.

The spelling of 2111400960 in words is "two billion, one hundred eleven million, four hundred thousand, nine hundred sixty".