2027138400 has 720 divisors, whose sum is σ = 8734128480. Its totient is φ = 447897600.

The previous prime is 2027138389. The next prime is 2027138411. The reversal of 2027138400 is 48317202.

2027138400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2027138389) and next prime (2027138411).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18597546 + ... + 18597654.

It is an arithmetic number, because the mean of its divisors is an integer number (12130734).

Almost surely, 2^2027138400 is an apocalyptic number.

2027138400 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 2027138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367064240).

2027138400 is an abundant number, since it is smaller than the sum of its proper divisors (6706990080).

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

2027138400 is a wasteful number, since it uses less digits than its factorization.

2027138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2027138400 is about 45023.7537306698. The cubic root of 2027138400 is about 1265.5941737348.

The spelling of 2027138400 in words is "two billion, twenty-seven million, one hundred thirty-eight thousand, four hundred".