2126424531840 has 512 divisors, whose sum is σ = 7887996518400. Its totient is φ = 477168869376.

The previous prime is 2126424531839. The next prime is 2126424531901. The reversal of 2126424531840 is 481354246212.

It is a super-2 number, since 2×2126424531840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2126424531792 and 2126424531801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861946287 + ... + 861948753.

It is an arithmetic number, because the mean of its divisors is an integer number (15406243200).

Almost surely, 2^{2126424531840} is an apocalyptic number.

2126424531840 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 2126424531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943998259200).

2126424531840 is an abundant number, since it is smaller than the sum of its proper divisors (5761571986560).

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

2126424531840 is a wasteful number, since it uses less digits than its factorization.

2126424531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 2126424531840 in words is "two trillion, one hundred twenty-six billion, four hundred twenty-four million, five hundred thirty-one thousand, eight hundred forty".