2125782210960 has 480 divisors, whose sum is σ = 7787884043520. Its totient is φ = 531962855424.

The previous prime is 2125782210947. The next prime is 2125782210989. The reversal of 2125782210960 is 690122875212.

2125782210960 is a `hidden beast` number, since 2 + 1 + 2 + 578 + 2 + 2 + 10 + 9 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 139543504 + ... + 139558736.

It is an arithmetic number, because the mean of its divisors is an integer number (16224758424).

Almost surely, 2^{2125782210960} is an apocalyptic number.

2125782210960 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 2125782210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893942021760).

2125782210960 is an abundant number, since it is smaller than the sum of its proper divisors (5662101832560).

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

2125782210960 is a wasteful number, since it uses less digits than its factorization.

2125782210960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15384 (or 15319 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2125782210960 in words is "two trillion, one hundred twenty-five billion, seven hundred eighty-two million, two hundred ten thousand, nine hundred sixty".