2472779232 has 576 divisors, whose sum is σ = 9438105600. Its totient is φ = 615859200.

The previous prime is 2472779207. The next prime is 2472779233. The reversal of 2472779232 is 2329772742.

2472779232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472779232² = 12229274260421019648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472779233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22685994 + ... + 22686102.

It is an arithmetic number, because the mean of its divisors is an integer number (16385600).

Almost surely, 2^2472779232 is an apocalyptic number.

2472779232 is a gapful number since it is divisible by the number (22) 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 2472779232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719052800).

2472779232 is an abundant number, since it is smaller than the sum of its proper divisors (6965326368).

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

2472779232 is a wasteful number, since it uses less digits than its factorization.

2472779232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 2472779232 is about 49727.0472881711. The cubic root of 2472779232 is about 1352.2649189678.

The spelling of 2472779232 in words is "two billion, four hundred seventy-two million, seven hundred seventy-nine thousand, two hundred thirty-two".