2787924480 has 320 divisors, whose sum is σ = 9900544896. Its totient is φ = 663552000.

The previous prime is 2787924467. The next prime is 2787924499. The reversal of 2787924480 is 844297872.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5153010 + ... + 5153550.

Almost surely, 2^2787924480 is an apocalyptic number.

2787924480 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 2787924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950272448).

2787924480 is an abundant number, since it is smaller than the sum of its proper divisors (7112620416).

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

2787924480 is a wasteful number, since it uses less digits than its factorization.

2787924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 2787924480 is about 52800.7999939395. The cubic root of 2787924480 is about 1407.4306410090.

The spelling of 2787924480 in words is "two billion, seven hundred eighty-seven million, nine hundred twenty-four thousand, four hundred eighty".