2361129012 has 288 divisors, whose sum is σ = 7245987840. Its totient is φ = 640224000.

The previous prime is 2361129007. The next prime is 2361129019. The reversal of 2361129012 is 2109211632.

2361129012 is a `hidden beast` number, since 2 + 361 + 1 + 290 + 12 = 666.

It is a super-2 number, since 2×2361129012² = 11149860422616192288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361129019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12361837 + ... + 12362027.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 2^2361129012 is an apocalyptic number.

2361129012 is a gapful number since it is divisible by the number (22) 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 2361129012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622993920).

2361129012 is an abundant number, since it is smaller than the sum of its proper divisors (4884858828).

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

2361129012 is a wasteful number, since it uses less digits than its factorization.

2361129012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2361129012 is about 48591.4499886554. The cubic root of 2361129012 is about 1331.5983219197.

The spelling of 2361129012 in words is "two billion, three hundred sixty-one million, one hundred twenty-nine thousand, twelve".