2012284193904 has 240 divisors, whose sum is σ = 5952245520000. Its totient is φ = 632864752128.

The previous prime is 2012284193903. The next prime is 2012284194047. The reversal of 2012284193904 is 4093914822102.

2012284193904 is a `hidden beast` number, since 2 + 0 + 1 + 228 + 419 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×2012284193904² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012284193904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012284193903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274403387 + ... + 1274404965.

It is an arithmetic number, because the mean of its divisors is an integer number (24801023000).

Almost surely, 2^{2012284193904} is an apocalyptic number.

2012284193904 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 2012284193904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976122760000).

2012284193904 is an abundant number, since it is smaller than the sum of its proper divisors (3939961326096).

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

2012284193904 is a wasteful number, since it uses less digits than its factorization.

2012284193904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2012284193904 in words is "two trillion, twelve billion, two hundred eighty-four million, one hundred ninety-three thousand, nine hundred four".