2778109488 has 600 divisors, whose sum is σ = 10560355344. Its totient is φ = 696729600.

The previous prime is 2778109429. The next prime is 2778109489. The reversal of 2778109488 is 8849018772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2778109489) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28640256 + ... + 28640352.

Almost surely, 2^2778109488 is an apocalyptic number.

2778109488 is a gapful number since it is divisible by the number (28) 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 2778109488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280177672).

2778109488 is an abundant number, since it is smaller than the sum of its proper divisors (7782245856).

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

2778109488 is a wasteful number, since it uses less digits than its factorization.

2778109488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 2778109488 is about 52707.7744550081. The cubic root of 2778109488 is about 1405.7770616565. Note that the first 3 decimals are identical.

The spelling of 2778109488 in words is "two billion, seven hundred seventy-eight million, one hundred nine thousand, four hundred eighty-eight".