2782913760 has 432 divisors, whose sum is σ = 10802583792. Its totient is φ = 671846400.

The previous prime is 2782913759. The next prime is 2782913767. The reversal of 2782913760 is 673192872.

2782913760 is a `hidden beast` number, since 278 + 2 + 9 + 1 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782913767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11547240 + ... + 11547480.

It is an arithmetic number, because the mean of its divisors is an integer number (25005981).

Almost surely, 2^2782913760 is an apocalyptic number.

2782913760 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 2782913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401291896).

2782913760 is an abundant number, since it is smaller than the sum of its proper divisors (8019670032).

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

2782913760 is an equidigital number, since it uses as much as digits as its factorization.

2782913760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2782913760 is about 52753.3293736045. The cubic root of 2782913760 is about 1406.5869464590.

The spelling of 2782913760 in words is "two billion, seven hundred eighty-two million, nine hundred thirteen thousand, seven hundred sixty".