2412965120 has 54 divisors (see below), whose sum is σ = 5784018198. Its totient is φ = 964483072.

The previous prime is 2412965083. The next prime is 2412965129. The reversal of 2412965120 is 215692142.

It can be written as a sum of positive squares in 3 ways, for example, as 1706681344 + 706283776 = 41312^2 + 26576^2 .

It is a super-2 number, since 2×2412965120² = 11644801340673228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412965129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1756754 + ... + 1758126.

Almost surely, 2^2412965120 is an apocalyptic number.

2412965120 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 2412965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892009099).

2412965120 is an abundant number, since it is smaller than the sum of its proper divisors (3371053078).

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

2412965120 is an frugal number, since it uses more digits than its factorization.

2412965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2412965120 is about 49121.9413297154. The cubic root of 2412965120 is about 1341.2724824958.

The spelling of 2412965120 in words is "two billion, four hundred twelve million, nine hundred sixty-five thousand, one hundred twenty".