2126746944 has 168 divisors, whose sum is σ = 7081812608. Its totient is φ = 597611520.

The previous prime is 2126746943. The next prime is 2126747011. The reversal of 2126746944 is 4496476212.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2126746944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126746943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241629 + ... + 250275.

Almost surely, 2^2126746944 is an apocalyptic number.

2126746944 is a gapful number since it is divisible by the number (24) 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 2126746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540906304).

2126746944 is an abundant number, since it is smaller than the sum of its proper divisors (4955065664).

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

2126746944 is a wasteful number, since it uses less digits than its factorization.

2126746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8720 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2126746944 is about 46116.6666618480. Note that the first 5 decimals coincide. The cubic root of 2126746944 is about 1285.9930035327.

The spelling of 2126746944 in words is "two billion, one hundred twenty-six million, seven hundred forty-six thousand, nine hundred forty-four".