2102074624 has 144 divisors (see below), whose sum is σ = 4697602560. Its totient is φ = 932659200.

The previous prime is 2102074613. The next prime is 2102074631. The reversal of 2102074624 is 4264702012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2102074592 and 2102074601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13920949 + ... + 13921099.

It is an arithmetic number, because the mean of its divisors is an integer number (32622240).

Almost surely, 2^2102074624 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 2102074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348801280).

2102074624 is an abundant number, since it is smaller than the sum of its proper divisors (2595527936).

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

2102074624 is a wasteful number, since it uses less digits than its factorization.

2102074624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2102074624 is about 45848.3873653153. The cubic root of 2102074624 is about 1281.0007278251. Note that the first 3 decimals are identical.

Adding to 2102074624 its reverse (4264702012), we get a palindrome (6366776636).

The spelling of 2102074624 in words is "two billion, one hundred two million, seventy-four thousand, six hundred twenty-four".