2987226933120 has 1024 divisors, whose sum is σ = 11698331040000. Its totient is φ = 717018365952.

The previous prime is 2987226933113. The next prime is 2987226933133. The reversal of 2987226933120 is 213396227892.

2987226933120 is a `hidden beast` number, since 2 + 9 + 87 + 226 + 9 + 331 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 928573752 + ... + 928576968.

Almost surely, 2^{2987226933120} is an apocalyptic number.

2987226933120 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 2987226933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849165520000).

2987226933120 is an abundant number, since it is smaller than the sum of its proper divisors (8711104106880).

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

2987226933120 is a wasteful number, since it uses less digits than its factorization.

2987226933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2987226933120 in words is "two trillion, nine hundred eighty-seven billion, two hundred twenty-six million, nine hundred thirty-three thousand, one hundred twenty".