2758080 has 168 divisors, whose sum is σ = 10040112. Its totient is φ = 638976.

The previous prime is 2758079. The next prime is 2758087. The reversal of 2758080 is 808572.

2758080 = T₂₆₁ + T₂₆₂ + ... + T₃₂₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758087) 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, 162232 + ... + 162248.

2^2758080 is an apocalyptic number.

2758080 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 2758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020056).

2758080 is an abundant number, since it is smaller than the sum of its proper divisors (7282032).

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

2758080 is a wasteful number, since it uses less digits than its factorization.

2758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2758080 is about 1660.7468199578. The cubic root of 2758080 is about 140.2390473811.

The spelling of 2758080 in words is "two million, seven hundred fifty-eight thousand, eighty".