2778602400 has 1152 divisors, whose sum is σ = 12959170560. Its totient is φ = 559595520.

The previous prime is 2778602369. The next prime is 2778602471. The reversal of 2778602400 is 42068772.

2778602400 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 602 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59119177 + ... + 59119223.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^2778602400 is an apocalyptic number.

2778602400 is a gapful number since it is divisible by the number (20) 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 2778602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479585280).

2778602400 is an abundant number, since it is smaller than the sum of its proper divisors (10180568160).

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

2778602400 is a wasteful number, since it uses less digits than its factorization.

2778602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2778602400 is about 52712.4501422577. The cubic root of 2778602400 is about 1405.8601977374.

The spelling of 2778602400 in words is "two billion, seven hundred seventy-eight million, six hundred two thousand, four hundred".