2126022528 has 256 divisors, whose sum is σ = 6711828480. Its totient is φ = 583680000.

The previous prime is 2126022517. The next prime is 2126022541. The reversal of 2126022528 is 8252206212.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2126022495 and 2126022504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130913 + ... + 11131103.

It is an arithmetic number, because the mean of its divisors is an integer number (26218080).

Almost surely, 2^2126022528 is an apocalyptic number.

2126022528 is a gapful number since it is divisible by the number (28) 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 2126022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355914240).

2126022528 is an abundant number, since it is smaller than the sum of its proper divisors (4585805952).

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

2126022528 is a wasteful number, since it uses less digits than its factorization.

2126022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2126022528 is about 46108.8118259406. The cubic root of 2126022528 is about 1285.8469746091.

The spelling of 2126022528 in words is "two billion, one hundred twenty-six million, twenty-two thousand, five hundred twenty-eight".