2782612224 has 432 divisors, whose sum is σ = 10040128000. Its totient is φ = 744505344.

The previous prime is 2782612211. The next prime is 2782612247. The reversal of 2782612224 is 4222162872.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13982877 + ... + 13983075.

Almost surely, 2^2782612224 is an apocalyptic number.

2782612224 is a gapful number since it is divisible by the number (24) 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 2782612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020064000).

2782612224 is an abundant number, since it is smaller than the sum of its proper divisors (7257515776).

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

2782612224 is a wasteful number, since it uses less digits than its factorization.

2782612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2782612224 is about 52750.4713154300. The cubic root of 2782612224 is about 1406.5361421633.

The spelling of 2782612224 in words is "two billion, seven hundred eighty-two million, six hundred twelve thousand, two hundred twenty-four".