2758942080 has 256 divisors, whose sum is σ = 9921254400. Its totient is φ = 724432896.

The previous prime is 2758942079. The next prime is 2758942097. The reversal of 2758942080 is 802498572.

2758942080 is a `hidden beast` number, since 2 + 75 + 89 + 420 + 80 = 666.

It is a super-2 number, since 2×2758942080² = 15223522801589452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156569 + ... + 1158951.

It is an arithmetic number, because the mean of its divisors is an integer number (38754900).

Almost surely, 2^2758942080 is an apocalyptic number.

2758942080 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 2758942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960627200).

2758942080 is an abundant number, since it is smaller than the sum of its proper divisors (7162312320).

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

2758942080 is a wasteful number, since it uses less digits than its factorization.

2758942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2758942080 is about 52525.6325997127. The cubic root of 2758942080 is about 1402.5365714390.

The spelling of 2758942080 in words is "two billion, seven hundred fifty-eight million, nine hundred forty-two thousand, eighty".