2781502080 has 256 divisors, whose sum is σ = 10178784000. Its totient is φ = 632881152.

The previous prime is 2781502069. The next prime is 2781502091. The reversal of 2781502080 is 802051872.

It is an interprime number because it is at equal distance from previous prime (2781502069) and next prime (2781502091).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690264 + ... + 4690856.

It is an arithmetic number, because the mean of its divisors is an integer number (39760875).

Almost surely, 2^2781502080 is an apocalyptic number.

2781502080 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 2781502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089392000).

2781502080 is an abundant number, since it is smaller than the sum of its proper divisors (7397281920).

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

2781502080 is a wasteful number, since it uses less digits than its factorization.

2781502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2781502080 is about 52739.9476677784. The cubic root of 2781502080 is about 1406.3490679046.

The spelling of 2781502080 in words is "two billion, seven hundred eighty-one million, five hundred two thousand, eighty".