2074412229120 has 2880 divisors, whose sum is σ = 9737104785408. Its totient is φ = 413857382400.

The previous prime is 2074412229083. The next prime is 2074412229157. The reversal of 2074412229120 is 219222144702.

2074412229120 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 412 + 229 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2074412229083) and next prime (2074412229157).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16333954497 + ... + 16333954623.

Almost surely, 2^{2074412229120} is an apocalyptic number.

2074412229120 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 2074412229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868552392704).

2074412229120 is an abundant number, since it is smaller than the sum of its proper divisors (7662692556288).

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

2074412229120 is a wasteful number, since it uses less digits than its factorization.

2074412229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2074412229120 in words is "two trillion, seventy-four billion, four hundred twelve million, two hundred twenty-nine thousand, one hundred twenty".