2467721064 has 64 divisors (see below), whose sum is σ = 6500275200. Its totient is φ = 778527936.

The previous prime is 2467721063. The next prime is 2467721093. The reversal of 2467721064 is 4601277642.

2467721064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2467721063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646987 + ... + 650789.

It is an arithmetic number, because the mean of its divisors is an integer number (101566800).

Almost surely, 2^2467721064 is an apocalyptic number.

2467721064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2467721064 is an abundant number, since it is smaller than the sum of its proper divisors (4032554136).

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

2467721064 is a wasteful number, since it uses less digits than its factorization.

2467721064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2467721064 is about 49676.1619290380. The cubic root of 2467721064 is about 1351.3422523884.

The spelling of 2467721064 in words is "two billion, four hundred sixty-seven million, seven hundred twenty-one thousand, sixty-four".