2788145160 has 96 divisors (see below), whose sum is σ = 8437141440. Its totient is φ = 737071872.

The previous prime is 2788145159. The next prime is 2788145161. The reversal of 2788145160 is 615418872.

It is an interprime number because it is at equal distance from previous prime (2788145159) and next prime (2788145161).

It is not an unprimeable number, because it can be changed into a prime (2788145161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7474734 + ... + 7475106.

It is an arithmetic number, because the mean of its divisors is an integer number (87886890).

Almost surely, 2^2788145160 is an apocalyptic number.

2788145160 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 2788145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218570720).

2788145160 is an abundant number, since it is smaller than the sum of its proper divisors (5648996280).

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

2788145160 is a wasteful number, since it uses less digits than its factorization.

2788145160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 2788145160 is about 52802.8896936522. The cubic root of 2788145160 is about 1407.4677753960.

The spelling of 2788145160 in words is "two billion, seven hundred eighty-eight million, one hundred forty-five thousand, one hundred sixty".