2451284064 has 72 divisors (see below), whose sum is σ = 7273938672. Its totient is φ = 781566720.

The previous prime is 2451284057. The next prime is 2451284081. The reversal of 2451284064 is 4604821542.

2451284064 is a `hidden beast` number, since 2 + 4 + 512 + 84 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178407 + ... + 191654.

It is an arithmetic number, because the mean of its divisors is an integer number (101026926).

Almost surely, 2^2451284064 is an apocalyptic number.

2451284064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2451284064 is an abundant number, since it is smaller than the sum of its proper divisors (4822654608).

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

2451284064 is a wasteful number, since it uses less digits than its factorization.

2451284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370100 (or 370089 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2451284064 is about 49510.4439891221. The cubic root of 2451284064 is about 1348.3352252657.

The spelling of 2451284064 in words is "two billion, four hundred fifty-one million, two hundred eighty-four thousand, sixty-four".