2064349440 has 432 divisors, whose sum is σ = 7713957888. Its totient is φ = 507838464.

The previous prime is 2064349439. The next prime is 2064349447. The reversal of 2064349440 is 449434602.

2064349440 is a `hidden beast` number, since 2 + 0 + 643 + 4 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×2064349440² = 8523077220856627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2064349395 and 2064349404.

It is not an unprimeable number, because it can be changed into a prime (2064349447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16254657 + ... + 16254783.

It is an arithmetic number, because the mean of its divisors is an integer number (17856384).

Almost surely, 2^2064349440 is an apocalyptic number.

2064349440 is a gapful number since it is divisible by the number (20) 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 2064349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856978944).

2064349440 is an abundant number, since it is smaller than the sum of its proper divisors (5649608448).

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

2064349440 is a wasteful number, since it uses less digits than its factorization.

2064349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2064349440 is about 45435.1124131987. The cubic root of 2064349440 is about 1273.2912010279.

The spelling of 2064349440 in words is "two billion, sixty-four million, three hundred forty-nine thousand, four hundred forty".