2412329976 has 384 divisors, whose sum is σ = 8266752000. Its totient is φ = 633346560.

The previous prime is 2412329951. The next prime is 2412329977. The reversal of 2412329976 is 6799232142.

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

Its product of digits (326592) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412329977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17608180 + ... + 17608316.

It is an arithmetic number, because the mean of its divisors is an integer number (21528000).

Almost surely, 2^2412329976 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 2412329976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133376000).

2412329976 is an abundant number, since it is smaller than the sum of its proper divisors (5854422024).

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

2412329976 is a wasteful number, since it uses less digits than its factorization.

2412329976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2412329976 is about 49115.4759317264. The cubic root of 2412329976 is about 1341.1547883057.

The spelling of 2412329976 in words is "two billion, four hundred twelve million, three hundred twenty-nine thousand, nine hundred seventy-six".