2364464240 has 80 divisors (see below), whose sum is σ = 5733799680. Its totient is φ = 905748480.

The previous prime is 2364464197. The next prime is 2364464273. The reversal of 2364464240 is 424644632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2364464240² = 11181382284477555200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2364464240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235646 + ... + 245474.

It is an arithmetic number, because the mean of its divisors is an integer number (71672496).

Almost surely, 2^2364464240 is an apocalyptic number.

2364464240 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 2364464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866899840).

2364464240 is an abundant number, since it is smaller than the sum of its proper divisors (3369335440).

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

2364464240 is a wasteful number, since it uses less digits than its factorization.

2364464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The square root of 2364464240 is about 48625.7569606891. The cubic root of 2364464240 is about 1332.2250128635.

The spelling of 2364464240 in words is "two billion, three hundred sixty-four million, four hundred sixty-four thousand, two hundred forty".