2132105379840 has 1200 divisors, whose sum is σ = 8308776423024. Its totient is φ = 520932556800.

The previous prime is 2132105379839. The next prime is 2132105379863. The reversal of 2132105379840 is 489735012312.

It is a happy number.

2132105379840 is a `hidden beast` number, since 2 + 1 + 3 + 21 + 0 + 537 + 98 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 182663921664 + 1949441458176 = 427392^2 + 1396224^2 .

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 79 ways as a sum of consecutive naturals, for example, 4624957210 + ... + 4624957670.

Almost surely, 2^{2132105379840} is an apocalyptic number.

2132105379840 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 2132105379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154388211512).

2132105379840 is an abundant number, since it is smaller than the sum of its proper divisors (6176671043184).

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

2132105379840 is an equidigital number, since it uses as much as digits as its factorization.

2132105379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2132105379840 in words is "two trillion, one hundred thirty-two billion, one hundred five million, three hundred seventy-nine thousand, eight hundred forty".