2126872440 has 576 divisors, whose sum is σ = 8940728160. Its totient is φ = 433520640.

The previous prime is 2126872439. The next prime is 2126872453. The reversal of 2126872440 is 442786212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2126872395 and 2126872404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18821824 + ... + 18821936.

Almost surely, 2^2126872440 is an apocalyptic number.

2126872440 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 2126872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470364080).

2126872440 is an abundant number, since it is smaller than the sum of its proper divisors (6813855720).

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

2126872440 is a wasteful number, since it uses less digits than its factorization.

2126872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2126872440 is about 46118.0272778444. The cubic root of 2126872440 is about 1286.0182978449.

The spelling of 2126872440 in words is "two billion, one hundred twenty-six million, eight hundred seventy-two thousand, four hundred forty".