2778855360 has 224 divisors, whose sum is σ = 9572012352. Its totient is φ = 680263680.

The previous prime is 2778855353. The next prime is 2778855367. The reversal of 2778855360 is 635588772.

2778855360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2778855353) and next prime (2778855367).

It is a super-2 number, since 2×2778855360² = 15444074223601459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778855367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667044 + ... + 671196.

It is an arithmetic number, because the mean of its divisors is an integer number (42732198).

Almost surely, 2^2778855360 is an apocalyptic number.

2778855360 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 2778855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786006176).

2778855360 is an abundant number, since it is smaller than the sum of its proper divisors (6793156992).

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

2778855360 is a wasteful number, since it uses less digits than its factorization.

2778855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 2778855360 is about 52714.8495207944. The cubic root of 2778855360 is about 1405.9028589453.

The spelling of 2778855360 in words is "two billion, seven hundred seventy-eight million, eight hundred fifty-five thousand, three hundred sixty".