2780008896 has 224 divisors, whose sum is σ = 8848465920. Its totient is φ = 753122304.

The previous prime is 2780008859. The next prime is 2780008901. The reversal of 2780008896 is 6988000872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4296445 + ... + 4297091.

It is an arithmetic number, because the mean of its divisors is an integer number (39502080).

Almost surely, 2^2780008896 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 2780008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424232960).

2780008896 is an abundant number, since it is smaller than the sum of its proper divisors (6068457024).

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

2780008896 is a wasteful number, since it uses less digits than its factorization.

2780008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 2780008896 is about 52725.7896669173. The cubic root of 2780008896 is about 1406.0973677146.

The spelling of 2780008896 in words is "two billion, seven hundred eighty million, eight thousand, eight hundred ninety-six".