2472431040 has 560 divisors, whose sum is σ = 9665720064. Its totient is φ = 597196800.

The previous prime is 2472431033. The next prime is 2472431081. The reversal of 2472431040 is 401342742.

It is a super-2 number, since 2×2472431040² = 12225830495110963200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2472430995 and 2472431013.

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, 13659750 + ... + 13659930.

Almost surely, 2^2472431040 is an apocalyptic number.

2472431040 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 2472431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832860032).

2472431040 is an abundant number, since it is smaller than the sum of its proper divisors (7193289024).

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

2472431040 is a wasteful number, since it uses less digits than its factorization.

2472431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

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

The square root of 2472431040 is about 49723.5461325920. The cubic root of 2472431040 is about 1352.2014451887.

Adding to 2472431040 its reverse (401342742), we get a palindrome (2873773782).

The spelling of 2472431040 in words is "two billion, four hundred seventy-two million, four hundred thirty-one thousand, forty".