2125746841284 has 576 divisors, whose sum is σ = 6544571185152. Its totient is φ = 596767564800.

The previous prime is 2125746841249. The next prime is 2125746841313. The reversal of 2125746841284 is 4821486475212.

2125746841284 is a `hidden beast` number, since 2 + 1 + 2 + 57 + 468 + 4 + 128 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2125746841284.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2793359464 + ... + 2793360224.

It is an arithmetic number, because the mean of its divisors is an integer number (11362102752).

Almost surely, 2^{2125746841284} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125746841284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272285592576).

2125746841284 is an abundant number, since it is smaller than the sum of its proper divisors (4418824343868).

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

2125746841284 is a wasteful number, since it uses less digits than its factorization.

2125746841284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 2125746841284 in words is "two trillion, one hundred twenty-five billion, seven hundred forty-six million, eight hundred forty-one thousand, two hundred eighty-four".