2126644000 has 96 divisors (see below), whose sum is σ = 5627237616. Its totient is φ = 785203200.

The previous prime is 2126643977. The next prime is 2126644007. The reversal of 2126644000 is 4466212.

It can be written as a sum of positive squares in 8 ways, for example, as 82519056 + 2044124944 = 9084^2 + 45212^2 .

It is a super-2 number, since 2×2126644000² = 9045229405472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2126644007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31552 + ... + 72448.

Almost surely, 2^2126644000 is an apocalyptic number.

2126644000 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 2126644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813618808).

2126644000 is an abundant number, since it is smaller than the sum of its proper divisors (3500593616).

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

2126644000 is a wasteful number, since it uses less digits than its factorization.

2126644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40935 (or 40917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2126644000 is about 46115.5505225732. The cubic root of 2126644000 is about 1285.9722539398.

The spelling of 2126644000 in words is "two billion, one hundred twenty-six million, six hundred forty-four thousand".