2126644416 has 224 divisors, whose sum is σ = 6900062400. Its totient is φ = 638115840.

The previous prime is 2126644411. The next prime is 2126644433. The reversal of 2126644416 is 6144466212.

2126644416 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 644 + 4 + 1 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2126644411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919870 + ... + 922178.

It is an arithmetic number, because the mean of its divisors is an integer number (30803850).

Almost surely, 2^2126644416 is an apocalyptic number.

2126644416 is a gapful number since it is divisible by the number (26) 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 2126644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450031200).

2126644416 is an abundant number, since it is smaller than the sum of its proper divisors (4773417984).

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

2126644416 is a wasteful number, since it uses less digits than its factorization.

2126644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2368 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2126644416 is about 46115.5550329821. Note that the first 3 decimals coincide. The cubic root of 2126644416 is about 1285.9723377909.

The spelling of 2126644416 in words is "two billion, one hundred twenty-six million, six hundred forty-four thousand, four hundred sixteen".