2027047680 has 864 divisors, whose sum is σ = 8928192000. Its totient is φ = 438939648.

The previous prime is 2027047639. The next prime is 2027047723. The reversal of 2027047680 is 867407202.

It is a tau number, because it is divible by the number of its divisors (864).

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, 106686711 + ... + 106686729.

Almost surely, 2^2027047680 is an apocalyptic number.

2027047680 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 2027047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464096000).

2027047680 is an abundant number, since it is smaller than the sum of its proper divisors (6901144320).

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

2027047680 is an frugal number, since it uses more digits than its factorization.

2027047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2027047680 is about 45022.7462512006. The cubic root of 2027047680 is about 1265.5752938503.

The spelling of 2027047680 in words is "two billion, twenty-seven million, forty-seven thousand, six hundred eighty".