2472624000 has 768 divisors, whose sum is σ = 11120578560. Its totient is φ = 511488000.

The previous prime is 2472623963. The next prime is 2472624017. The reversal of 2472624000 is 4262742.

It is a happy number.

It is a super-2 number, since 2×2472624000² = 12227738890752000000, which contains 22 as substring.

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, 11087889 + ... + 11088111.

It is an arithmetic number, because the mean of its divisors is an integer number (14479920).

Almost surely, 2^2472624000 is an apocalyptic number.

2472624000 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 2472624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560289280).

2472624000 is an abundant number, since it is smaller than the sum of its proper divisors (8647954560).

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

2472624000 is a wasteful number, since it uses less digits than its factorization.

2472624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2472624000 is about 49725.4864229602. The cubic root of 2472624000 is about 1352.2366216337.

Adding to 2472624000 its reverse (4262742), we get a palindrome (2476886742).

The spelling of 2472624000 in words is "two billion, four hundred seventy-two million, six hundred twenty-four thousand".