2768626900 has 36 divisors (see below), whose sum is σ = 6470071132. Its totient is φ = 1022261760.

The previous prime is 2768626873. The next prime is 2768626921. The reversal of 2768626900 is 96268672.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 492573636 + 2276053264 = 22194^2 + 47708^2 .

It is a super-2 number, since 2×2768626900² = 15330589822807220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063557 + ... + 1066156.

Almost surely, 2^2768626900 is an apocalyptic number.

2768626900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768626900 is an abundant number, since it is smaller than the sum of its proper divisors (3701444232).

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

2768626900 is a wasteful number, since it uses less digits than its factorization.

2768626900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129740 (or 2129733 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 2768626900 is about 52617.7432051205. The cubic root of 2768626900 is about 1404.1757808122.

The spelling of 2768626900 in words is "two billion, seven hundred sixty-eight million, six hundred twenty-six thousand, nine hundred".