2405272320 has 864 divisors, whose sum is σ = 10178138880. Its totient is φ = 537477120.

The previous prime is 2405272313. The next prime is 2405272333. The reversal of 2405272320 is 232725042.

2405272320 is a `hidden beast` number, since 2 + 405 + 27 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65007342 + ... + 65007378.

Almost surely, 2^2405272320 is an apocalyptic number.

2405272320 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 2405272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089069440).

2405272320 is an abundant number, since it is smaller than the sum of its proper divisors (7772866560).

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

2405272320 is a wasteful number, since it uses less digits than its factorization.

2405272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2405272320 is about 49043.5757260826. The cubic root of 2405272320 is about 1339.8455899898.

Adding to 2405272320 its reverse (232725042), we get a palindrome (2637997362).

The spelling of 2405272320 in words is "two billion, four hundred five million, two hundred seventy-two thousand, three hundred twenty".