2821476240 has 400 divisors, whose sum is σ = 11161535616. Its totient is φ = 653875200.

The previous prime is 2821476233. The next prime is 2821476241. The reversal of 2821476240 is 426741282.

2821476240 is a `hidden beast` number, since 2 + 8 + 21 + 4 + 7 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2821476195 and 2821476204.

It is not an unprimeable number, because it can be changed into a prime (2821476241) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1638580 + ... + 1640300.

Almost surely, 2^2821476240 is an apocalyptic number.

2821476240 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 2821476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580767808).

2821476240 is an abundant number, since it is smaller than the sum of its proper divisors (8340059376).

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

2821476240 is a wasteful number, since it uses less digits than its factorization.

2821476240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2821476240 is about 53117.5699745386. The cubic root of 2821476240 is about 1413.0541312920.

The spelling of 2821476240 in words is "two billion, eight hundred twenty-one million, four hundred seventy-six thousand, two hundred forty".