2778096552 has 384 divisors, whose sum is σ = 9455616000. Its totient is φ = 670602240.

The previous prime is 2778096547. The next prime is 2778096583. The reversal of 2778096552 is 2556908772.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2778096495 and 2778096504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21874713 + ... + 21874839.

It is an arithmetic number, because the mean of its divisors is an integer number (24624000).

Almost surely, 2^2778096552 is an apocalyptic number.

2778096552 is a gapful number since it is divisible by the number (22) 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 2778096552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727808000).

2778096552 is an abundant number, since it is smaller than the sum of its proper divisors (6677519448).

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

2778096552 is a wasteful number, since it uses less digits than its factorization.

2778096552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 2778096552 is about 52707.6517405206. The cubic root of 2778096552 is about 1405.7748796978.

The spelling of 2778096552 in words is "two billion, seven hundred seventy-eight million, ninety-six thousand, five hundred fifty-two".