2111389862400 has 2880 divisors, whose sum is σ = 9840630159360. Its totient is φ = 420426547200.

The previous prime is 2111389862383. The next prime is 2111389862447. The reversal of 2111389862400 is 42689831112.

2111389862400 is a `hidden beast` number, since 2 + 1 + 1 + 13 + 8 + 9 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23723481556 + ... + 23723481644.

It is an arithmetic number, because the mean of its divisors is an integer number (3416885472).

Almost surely, 2^{2111389862400} is an apocalyptic number.

2111389862400 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 2111389862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920315079680).

2111389862400 is an abundant number, since it is smaller than the sum of its proper divisors (7729240296960).

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

2111389862400 is a wasteful number, since it uses less digits than its factorization.

2111389862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2111389862400 in words is "two trillion, one hundred eleven billion, three hundred eighty-nine million, eight hundred sixty-two thousand, four hundred".