2027996006400 has 2880 divisors, whose sum is σ = 9557800761600. Its totient is φ = 418780938240.

The previous prime is 2027996006381. The next prime is 2027996006419. The reversal of 2027996006400 is 46006997202.

It is an interprime number because it is at equal distance from previous prime (2027996006381) and next prime (2027996006419).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×2027996006400² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43148851177 + ... + 43148851223.

It is an arithmetic number, because the mean of its divisors is an integer number (3318680820).

Almost surely, 2^{2027996006400} is an apocalyptic number.

2027996006400 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 2027996006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778900380800).

2027996006400 is an abundant number, since it is smaller than the sum of its proper divisors (7529804755200).

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

2027996006400 is an equidigital number, since it uses as much as digits as its factorization.

2027996006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2027996006400 in words is "two trillion, twenty-seven billion, nine hundred ninety-six million, six thousand, four hundred".