2100982141440 has 2880 divisors, whose sum is σ = 9669014330976. Its totient is φ = 417368899584.

The previous prime is 2100982141439. The next prime is 2100982141441. The reversal of 2100982141440 is 441412890012.

2100982141440 is a `hidden beast` number, since 2 + 100 + 98 + 21 + 4 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2100982141439) and next prime (2100982141441).

It can be written as a sum of positive squares in 16 ways, for example, as 487025328384 + 1613956813056 = 697872^2 + 1270416^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2100982141395 and 2100982141404.

It is not an unprimeable number, because it can be changed into a prime (2100982141441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28780577244 + ... + 28780577316.

Almost surely, 2^{2100982141440} is an apocalyptic number.

2100982141440 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 2100982141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834507165488).

2100982141440 is an abundant number, since it is smaller than the sum of its proper divisors (7568032189536).

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

2100982141440 is a wasteful number, since it uses less digits than its factorization.

2100982141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 2100982 and 141440, that added together give a palindrome (2242422).

The spelling of 2100982141440 in words is "two trillion, one hundred billion, nine hundred eighty-two million, one hundred forty-one thousand, four hundred forty".