3002780160 has 280 divisors, whose sum is σ = 10801222740. Its totient is φ = 800243712.

The previous prime is 3002780149. The next prime is 3002780173. The reversal of 3002780160 is 610872003.

It can be written as a sum of positive squares in 2 ways, for example, as 2823434496 + 179345664 = 53136^2 + 13392^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865436 + ... + 1867044.

Almost surely, 2^3002780160 is an apocalyptic number.

3002780160 is a gapful number since it is divisible by the number (30) 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 3002780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400611370).

3002780160 is an abundant number, since it is smaller than the sum of its proper divisors (7798442580).

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

3002780160 is an frugal number, since it uses more digits than its factorization.

3002780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3002780160 is about 54797.6291457943. The cubic root of 3002780160 is about 1442.6949532612.

The spelling of 3002780160 in words is "three billion, two million, seven hundred eighty thousand, one hundred sixty".