2462724320 has 144 divisors (see below), whose sum is σ = 6987109248. Its totient is φ = 817044480.

The previous prime is 2462724239. The next prime is 2462724347. The reversal of 2462724320 is 234272642.

It is a super-2 number, since 2×2462724320² = 12130022152638924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237974 + ... + 248106.

It is an arithmetic number, because the mean of its divisors is an integer number (48521592).

Almost surely, 2^2462724320 is an apocalyptic number.

2462724320 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 2462724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493554624).

2462724320 is an abundant number, since it is smaller than the sum of its proper divisors (4524384928).

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

2462724320 is a wasteful number, since it uses less digits than its factorization.

2462724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 2462724320 is about 49625.8432673945. The cubic root of 2462724320 is about 1350.4295514654.

Adding to 2462724320 its reverse (234272642), we get a palindrome (2696996962).

The spelling of 2462724320 in words is "two billion, four hundred sixty-two million, seven hundred twenty-four thousand, three hundred twenty".