2456936064 has 384 divisors, whose sum is σ = 8233505280. Its totient is φ = 722856960.

The previous prime is 2456936023. The next prime is 2456936077. The reversal of 2456936064 is 4606396542.

2456936064 is a `hidden beast` number, since 24 + 569 + 3 + 6 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14712109 + ... + 14712275.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^2456936064 is an apocalyptic number.

2456936064 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 2456936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116752640).

2456936064 is an abundant number, since it is smaller than the sum of its proper divisors (5776569216).

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

2456936064 is a wasteful number, since it uses less digits than its factorization.

2456936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2456936064 is about 49567.4899909205. The cubic root of 2456936064 is about 1349.3707289478.

The spelling of 2456936064 in words is "two billion, four hundred fifty-six million, nine hundred thirty-six thousand, sixty-four".