2412610944 has 128 divisors (see below), whose sum is σ = 6730041600. Its totient is φ = 764307456.

The previous prime is 2412610943. The next prime is 2412610957. The reversal of 2412610944 is 4490162142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2412610944² = 11641383134217142272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412610943) 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, 1527147 + ... + 1528725.

It is an arithmetic number, because the mean of its divisors is an integer number (52578450).

Almost surely, 2^2412610944 is an apocalyptic number.

2412610944 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 2412610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365020800).

2412610944 is an abundant number, since it is smaller than the sum of its proper divisors (4317430656).

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

2412610944 is a wasteful number, since it uses less digits than its factorization.

2412610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2412610944 is about 49118.3361281711. The cubic root of 2412610944 is about 1341.2068551116.

The spelling of 2412610944 in words is "two billion, four hundred twelve million, six hundred ten thousand, nine hundred forty-four".