2768752350 has 324 divisors, whose sum is σ = 9382642776. Its totient is φ = 583390080.

The previous prime is 2768752303. The next prime is 2768752361. The reversal of 2768752350 is 532578672.

2768752350 is a `hidden beast` number, since 2 + 76 + 8 + 7 + 523 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2768752296 and 2768752305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3726079 + ... + 3726821.

It is an arithmetic number, because the mean of its divisors is an integer number (28958774).

Almost surely, 2^2768752350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768752350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691321388).

2768752350 is an abundant number, since it is smaller than the sum of its proper divisors (6613890426).

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

2768752350 is a wasteful number, since it uses less digits than its factorization.

2768752350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2768752350 is about 52618.9352799921. The cubic root of 2768752350 is about 1404.1969888210.

The spelling of 2768752350 in words is "two billion, seven hundred sixty-eight million, seven hundred fifty-two thousand, three hundred fifty".