2400282720 has 480 divisors, whose sum is σ = 9385437600. Its totient is φ = 572866560.

The previous prime is 2400282679. The next prime is 2400282763. The reversal of 2400282720 is 272820042.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2400282720² = 11522714271861196800, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 16109206 + ... + 16109354.

It is an arithmetic number, because the mean of its divisors is an integer number (19552995).

Almost surely, 2^2400282720 is an apocalyptic number.

2400282720 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 2400282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692718800).

2400282720 is an abundant number, since it is smaller than the sum of its proper divisors (6985154880).

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

2400282720 is a wasteful number, since it uses less digits than its factorization.

2400282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2400282720 is about 48992.6802696076. The cubic root of 2400282720 is about 1338.9184709011.

The spelling of 2400282720 in words is "two billion, four hundred million, two hundred eighty-two thousand, seven hundred twenty".