2100400848000 has 3072 divisors, whose sum is σ = 10052361446400. Its totient is φ = 419696640000.

The previous prime is 2100400847983. The next prime is 2100400848043. The reversal of 2100400848000 is 8480040012.

2100400848000 is a `hidden beast` number, since 2 + 100 + 400 + 84 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20796047950 + ... + 20796048050.

It is an arithmetic number, because the mean of its divisors is an integer number (3272253075).

Almost surely, 2^{2100400848000} is an apocalyptic number.

2100400848000 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 2100400848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026180723200).

2100400848000 is an abundant number, since it is smaller than the sum of its proper divisors (7951960598400).

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

2100400848000 is a wasteful number, since it uses less digits than its factorization.

2100400848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2100400848000 its reverse (8480040012), we get a palindrome (2108880888012).

The spelling of 2100400848000 in words is "two trillion, one hundred billion, four hundred million, eight hundred forty-eight thousand".