2783975040 has 384 divisors, whose sum is σ = 11987464320. Its totient is φ = 578396160.

The previous prime is 2783975027. The next prime is 2783975059. The reversal of 2783975040 is 405793872.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 4.

It is a congruent number.

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, 440382 + ... + 446658.

It is an arithmetic number, because the mean of its divisors is an integer number (31217355).

Almost surely, 2^2783975040 is an apocalyptic number.

2783975040 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 2783975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993732160).

2783975040 is an abundant number, since it is smaller than the sum of its proper divisors (9203489280).

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

2783975040 is a wasteful number, since it uses less digits than its factorization.

2783975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2783975040 is about 52763.3873059719. The cubic root of 2783975040 is about 1406.7657270469.

The spelling of 2783975040 in words is "two billion, seven hundred eighty-three million, nine hundred seventy-five thousand, forty".