2472162784 has 96 divisors (see below), whose sum is σ = 6080126976. Its totient is φ = 963325440.

The previous prime is 2472162769. The next prime is 2472162787. The reversal of 2472162784 is 4872612742.

It is a super-2 number, since 2×2472162784² = 12223177661189261312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2472162784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472162787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188769 + ... + 201439.

It is an arithmetic number, because the mean of its divisors is an integer number (63334656).

Almost surely, 2^2472162784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472162784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040063488).

2472162784 is an abundant number, since it is smaller than the sum of its proper divisors (3607964192).

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

2472162784 is a wasteful number, since it uses less digits than its factorization.

2472162784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12760 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The square root of 2472162784 is about 49720.8485848743. The cubic root of 2472162784 is about 1352.1525393056.

It can be divided in two parts, 247216 and 2784, that added together give a square (250000 = 500²).

The spelling of 2472162784 in words is "two billion, four hundred seventy-two million, one hundred sixty-two thousand, seven hundred eighty-four".