2778736968 has 64 divisors (see below), whose sum is σ = 8821392000. Its totient is φ = 793924416.

The previous prime is 2778736967. The next prime is 2778736979. The reversal of 2778736968 is 8696378772.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2778736967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917383 + ... + 920406.

It is an arithmetic number, because the mean of its divisors is an integer number (137834250).

Almost surely, 2^2778736968 is an apocalyptic number.

2778736968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2778736968 is an abundant number, since it is smaller than the sum of its proper divisors (6042655032).

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

2778736968 is a wasteful number, since it uses less digits than its factorization.

2778736968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837811 (or 1837801 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 2778736968 is about 52713.7265614944. The cubic root of 2778736968 is about 1405.8828926890.

The spelling of 2778736968 in words is "two billion, seven hundred seventy-eight million, seven hundred thirty-six thousand, nine hundred sixty-eight".