2778260958 has 160 divisors (see below), whose sum is σ = 7220331360. Its totient is φ = 790352640.

The previous prime is 2778260941. The next prime is 2778260977. The reversal of 2778260958 is 8590628772.

It is a happy number.

2778260958 is a `hidden beast` number, since 27 + 7 + 8 + 2 + 609 + 5 + 8 = 666.

It is a super-3 number, since 3×2778260958³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1911360 + ... + 1912812.

It is an arithmetic number, because the mean of its divisors is an integer number (45127071).

Almost surely, 2^2778260958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778260958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610165680).

2778260958 is an abundant number, since it is smaller than the sum of its proper divisors (4442070402).

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

2778260958 is a wasteful number, since it uses less digits than its factorization.

2778260958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2778260958 is about 52709.2113202237. The cubic root of 2778260958 is about 1405.8026101074.

The spelling of 2778260958 in words is "two billion, seven hundred seventy-eight million, two hundred sixty thousand, nine hundred fifty-eight".