2125834314240 has 1280 divisors, whose sum is σ = 8909429760000. Its totient is φ = 428867518464.

The previous prime is 2125834314223. The next prime is 2125834314299. The reversal of 2125834314240 is 424134385212.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 787636411 + ... + 787639109.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492000).

Almost surely, 2^{2125834314240} is an apocalyptic number.

2125834314240 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 2125834314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880000).

2125834314240 is an abundant number, since it is smaller than the sum of its proper divisors (6783595445760).

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

2125834314240 is a wasteful number, since it uses less digits than its factorization.

2125834314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 2125834314240 its reverse (424134385212), we get a palindrome (2549968699452).

The spelling of 2125834314240 in words is "two trillion, one hundred twenty-five billion, eight hundred thirty-four million, three hundred fourteen thousand, two hundred forty".