2768203776 has 312 divisors, whose sum is σ = 8442103296. Its totient is φ = 805109760.

The previous prime is 2768203759. The next prime is 2768203793. The reversal of 2768203776 is 6773028672.

It is an interprime number because it is at equal distance from previous prime (2768203759) and next prime (2768203793).

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64376811 + ... + 64376853.

Almost surely, 2^2768203776 is an apocalyptic number.

2768203776 is a gapful number since it is divisible by the number (26) 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 2768203776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221051648).

2768203776 is an abundant number, since it is smaller than the sum of its proper divisors (5673899520).

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

2768203776 is a wasteful number, since it uses less digits than its factorization.

2768203776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 2768203776 is about 52613.7223165212. The cubic root of 2768203776 is about 1404.1042446604.

The spelling of 2768203776 in words is "two billion, seven hundred sixty-eight million, two hundred three thousand, seven hundred seventy-six".