2821511040 has 128 divisors (see below), whose sum is σ = 9018064800. Its totient is φ = 750354432.

The previous prime is 2821511023. The next prime is 2821511059. The reversal of 2821511040 is 401151282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2821511040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783484 + ... + 787076.

Almost surely, 2^2821511040 is an apocalyptic number.

2821511040 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 2821511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509032400).

2821511040 is an abundant number, since it is smaller than the sum of its proper divisors (6196553760).

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

2821511040 is a wasteful number, since it uses less digits than its factorization.

2821511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2821511040 is about 53117.8975487547. The cubic root of 2821511040 is about 1413.0599407900.

The spelling of 2821511040 in words is "two billion, eight hundred twenty-one million, five hundred eleven thousand, forty".