2027758464 has 96 divisors (see below), whose sum is σ = 5874233040. Its totient is φ = 671385600.

The previous prime is 2027758457. The next prime is 2027758477. The reversal of 2027758464 is 4648577202.

It is a happy number.

2027758464 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 7 + 584 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2027758464² = 8223608776647278592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168124 + ... + 179780.

Almost surely, 2^2027758464 is an apocalyptic number.

2027758464 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 2027758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937116520).

2027758464 is an abundant number, since it is smaller than the sum of its proper divisors (3846474576).

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

2027758464 is a wasteful number, since it uses less digits than its factorization.

2027758464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11813 counting only the distinct ones).

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

The square root of 2027758464 is about 45030.6391693478. The cubic root of 2027758464 is about 1265.7232011667.

The spelling of 2027758464 in words is "two billion, twenty-seven million, seven hundred fifty-eight thousand, four hundred sixty-four".