2126057472 has 468 divisors, whose sum is σ = 7866112176. Its totient is φ = 547061760.

The previous prime is 2126057449. The next prime is 2126057551. The reversal of 2126057472 is 2747506212.

It is a happy number.

2126057472 is a `hidden beast` number, since 2 + 1 + 2 + 605 + 7 + 47 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19869643 + ... + 19869749.

It is an arithmetic number, because the mean of its divisors is an integer number (16807932).

Almost surely, 2^2126057472 is an apocalyptic number.

2126057472 is a gapful number since it is divisible by the number (22) 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 2126057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933056088).

2126057472 is an abundant number, since it is smaller than the sum of its proper divisors (5740054704).

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

2126057472 is a wasteful number, since it uses less digits than its factorization.

2126057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2126057472 is about 46109.1907541219. The cubic root of 2126057472 is about 1285.8540194373.

The spelling of 2126057472 in words is "two billion, one hundred twenty-six million, fifty-seven thousand, four hundred seventy-two".