2027830464 has 280 divisors, whose sum is σ = 6718206528. Its totient is φ = 599477760.

The previous prime is 2027830459. The next prime is 2027830471. The reversal of 2027830464 is 4640387202.

2027830464 is a `hidden beast` number, since 20 + 278 + 304 + 64 = 666.

It is a super-2 number, since 2×2027830464² = 8224192781452910592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2451619 + ... + 2452445.

Almost surely, 2^2027830464 is an apocalyptic number.

2027830464 is a gapful number since it is divisible by the number (24) 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 2027830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359103264).

2027830464 is an abundant number, since it is smaller than the sum of its proper divisors (4690376064).

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

2027830464 is a wasteful number, since it uses less digits than its factorization.

2027830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2027830464 is about 45031.4386179256. The cubic root of 2027830464 is about 1265.7381817464.

The spelling of 2027830464 in words is "two billion, twenty-seven million, eight hundred thirty thousand, four hundred sixty-four".