2778003648 has 448 divisors, whose sum is σ = 9834880000. Its totient is φ = 768144384.

The previous prime is 2778003563. The next prime is 2778003673. The reversal of 2778003648 is 8463008772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25486218 + ... + 25486326.

Almost surely, 2^2778003648 is an apocalyptic number.

2778003648 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 2778003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917440000).

2778003648 is an abundant number, since it is smaller than the sum of its proper divisors (7056876352).

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

2778003648 is a wasteful number, since it uses less digits than its factorization.

2778003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2778003648 is about 52706.7704189889. The cubic root of 2778003648 is about 1405.7592090683.

The spelling of 2778003648 in words is "two billion, seven hundred seventy-eight million, three thousand, six hundred forty-eight".