2775982080 has 448 divisors, whose sum is σ = 9908438400. Its totient is φ = 660602880.

The previous prime is 2775982073. The next prime is 2775982081. The reversal of 2775982080 is 802895772.

It is a super-2 number, since 2×2775982080² = 15412153016962252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775982081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67706860 + ... + 67706900.

It is an arithmetic number, because the mean of its divisors is an integer number (22117050).

Almost surely, 2^2775982080 is an apocalyptic number.

2775982080 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 2775982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954219200).

2775982080 is an abundant number, since it is smaller than the sum of its proper divisors (7132456320).

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

2775982080 is a wasteful number, since it uses less digits than its factorization.

2775982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 2775982080 is about 52687.5894305291. The cubic root of 2775982080 is about 1405.4181335081.

The spelling of 2775982080 in words is "two billion, seven hundred seventy-five million, nine hundred eighty-two thousand, eighty".