2027459970900 has 648 divisors, whose sum is σ = 7969639597920. Its totient is φ = 427316359680.

The previous prime is 2027459970841. The next prime is 2027459970917. The reversal of 2027459970900 is 90799547202.

2027459970900 is a `hidden beast` number, since 20 + 27 + 4 + 599 + 7 + 0 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×2027459970900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1024486111 + ... + 1024488089.

It is an arithmetic number, because the mean of its divisors is an integer number (12298826540).

Almost surely, 2^{2027459970900} is an apocalyptic number.

2027459970900 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 2027459970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984819798960).

2027459970900 is an abundant number, since it is smaller than the sum of its proper divisors (5942179627020).

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

2027459970900 is a wasteful number, since it uses less digits than its factorization.

2027459970900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 2027459970900 in words is "two trillion, twenty-seven billion, four hundred fifty-nine million, nine hundred seventy thousand, nine hundred".