2010027399120 has 480 divisors, whose sum is σ = 7514836353024. Its totient is φ = 478130688000.

The previous prime is 2010027399109. The next prime is 2010027399199. The reversal of 2010027399120 is 219937200102.

2010027399120 is a `hidden beast` number, since 20 + 100 + 27 + 399 + 120 = 666.

It is a super-2 number, since 2×2010027399120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219646545 + ... + 219655695.

Almost surely, 2^{2010027399120} is an apocalyptic number.

2010027399120 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 2010027399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757418176512).

2010027399120 is an abundant number, since it is smaller than the sum of its proper divisors (5504808953904).

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

2010027399120 is a wasteful number, since it uses less digits than its factorization.

2010027399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 2010027399120 in words is "two trillion, ten billion, twenty-seven million, three hundred ninety-nine thousand, one hundred twenty".