2027875046400 has 2772 divisors, whose sum is σ = 9301807286112. Its totient is φ = 428906741760.

The previous prime is 2027875046399. The next prime is 2027875046413. The reversal of 2027875046400 is 46405787202.

It is a happy number.

2027875046400 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 87 + 504 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×2027875046400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 47159884779 + ... + 47159884821.

Almost surely, 2^{2027875046400} is an apocalyptic number.

2027875046400 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 2027875046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650903643056).

2027875046400 is an abundant number, since it is smaller than the sum of its proper divisors (7273932239712).

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

2027875046400 is an equidigital number, since it uses as much as digits as its factorization.

2027875046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2027875046400 in words is "two trillion, twenty-seven billion, eight hundred seventy-five million, forty-six thousand, four hundred".