2784695480 has 384 divisors, whose sum is σ = 8234265600. Its totient is φ = 841300992.

The previous prime is 2784695479. The next prime is 2784695503. The reversal of 2784695480 is 845964872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59248817 + ... + 59248863.

It is an arithmetic number, because the mean of its divisors is an integer number (21443400).

Almost surely, 2^2784695480 is an apocalyptic number.

2784695480 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 2784695480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117132800).

2784695480 is an abundant number, since it is smaller than the sum of its proper divisors (5449570120).

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

2784695480 is a wasteful number, since it uses less digits than its factorization.

2784695480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The square root of 2784695480 is about 52770.2139468848. The cubic root of 2784695480 is about 1406.8870646876.

The spelling of 2784695480 in words is "two billion, seven hundred eighty-four million, six hundred ninety-five thousand, four hundred eighty".