2454586164 has 72 divisors (see below), whose sum is σ = 6355145160. Its totient is φ = 798584832.

The previous prime is 2454586153. The next prime is 2454586171. The reversal of 2454586164 is 4616854542.

It is a happy number.

2454586164 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 586 + 1 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1122920100 + 1331666064 = 33510^2 + 36492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250102 + ... + 259730.

It is an arithmetic number, because the mean of its divisors is an integer number (88265905).

Almost surely, 2^2454586164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2454586164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177572580).

2454586164 is an abundant number, since it is smaller than the sum of its proper divisors (3900558996).

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

2454586164 is a wasteful number, since it uses less digits than its factorization.

2454586164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809 (or 9804 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2454586164 is about 49543.7802756310. The cubic root of 2454586164 is about 1348.9403965274.

The spelling of 2454586164 in words is "two billion, four hundred fifty-four million, five hundred eighty-six thousand, one hundred sixty-four".