2781023616 has 288 divisors, whose sum is σ = 9802985400. Its totient is φ = 752467968.

The previous prime is 2781023593. The next prime is 2781023639. The reversal of 2781023616 is 6163201872.

2781023616 is a `hidden beast` number, since 2 + 7 + 8 + 10 + 23 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2781023593) and next prime (2781023639).

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1071216 + ... + 1073808.

Almost surely, 2^2781023616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901492700).

2781023616 is an abundant number, since it is smaller than the sum of its proper divisors (7021961784).

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

2781023616 is a wasteful number, since it uses less digits than its factorization.

2781023616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2781023616 is about 52735.4114044823. The cubic root of 2781023616 is about 1406.2684249082.

The spelling of 2781023616 in words is "two billion, seven hundred eighty-one million, twenty-three thousand, six hundred sixteen".