2778177864 has 128 divisors (see below), whose sum is σ = 8678016000. Its totient is φ = 720042240.

The previous prime is 2778177767. The next prime is 2778177877. The reversal of 2778177864 is 4687718772.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027987 + ... + 1030685.

It is an arithmetic number, because the mean of its divisors is an integer number (67797000).

Almost surely, 2^2778177864 is an apocalyptic number.

2778177864 is a gapful number since it is divisible by the number (24) 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 2778177864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339008000).

2778177864 is an abundant number, since it is smaller than the sum of its proper divisors (5899838136).

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

2778177864 is a wasteful number, since it uses less digits than its factorization.

2778177864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3279 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 57.

The square root of 2778177864 is about 52708.4230839816. The cubic root of 2778177864 is about 1405.7885947541.

The spelling of 2778177864 in words is "two billion, seven hundred seventy-eight million, one hundred seventy-seven thousand, eight hundred sixty-four".