2782241280 has 480 divisors, whose sum is σ = 11868240384. Its totient is φ = 586579968.

The previous prime is 2782241261. The next prime is 2782241291. The reversal of 2782241280 is 821422872.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095977 + ... + 2097303.

Almost surely, 2^2782241280 is an apocalyptic number.

2782241280 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 2782241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934120192).

2782241280 is an abundant number, since it is smaller than the sum of its proper divisors (9085999104).

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

2782241280 is a wasteful number, since it uses less digits than its factorization.

2782241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2782241280 is about 52746.9551727870. The cubic root of 2782241280 is about 1406.4736386250.

The spelling of 2782241280 in words is "two billion, seven hundred eighty-two million, two hundred forty-one thousand, two hundred eighty".