2768084550 has 384 divisors, whose sum is σ = 9827942400. Its totient is φ = 555984000.

The previous prime is 2768084491. The next prime is 2768084567. The reversal of 2768084550 is 554808672.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2768084496 and 2768084505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3222021 + ... + 3222879.

It is an arithmetic number, because the mean of its divisors is an integer number (25593600).

Almost surely, 2^2768084550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768084550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913971200).

2768084550 is an abundant number, since it is smaller than the sum of its proper divisors (7059857850).

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

2768084550 is a wasteful number, since it uses less digits than its factorization.

2768084550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2768084550 is about 52612.5892729107. The cubic root of 2768084550 is about 1404.0840862051.

The spelling of 2768084550 in words is "two billion, seven hundred sixty-eight million, eighty-four thousand, five hundred fifty".