2121016744 has 144 divisors (see below), whose sum is σ = 5148560340. Its totient is φ = 816076800.

The previous prime is 2121016739. The next prime is 2121016763. The reversal of 2121016744 is 4476101212.

It can be written as a sum of positive squares in 2 ways, for example, as 2091964644 + 29052100 = 45738^2 + 5390^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 4600674 + ... + 4601134.

Almost surely, 2^2121016744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121016744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574280170).

2121016744 is an abundant number, since it is smaller than the sum of its proper divisors (3027543596).

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

2121016744 is a wasteful number, since it uses less digits than its factorization.

2121016744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2121016744 is about 46054.4975436710. The cubic root of 2121016744 is about 1284.8369930551.

Adding to 2121016744 its reverse (4476101212), we get a palindrome (6597117956).

The spelling of 2121016744 in words is "two billion, one hundred twenty-one million, sixteen thousand, seven hundred forty-four".