2815223040 has 504 divisors, whose sum is σ = 11581532928. Its totient is φ = 641986560.

The previous prime is 2815223009. The next prime is 2815223051. The reversal of 2815223040 is 403225182.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2815222995 and 2815223013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531625 + ... + 6532055.

It is an arithmetic number, because the mean of its divisors is an integer number (22979232).

Almost surely, 2^2815223040 is an apocalyptic number.

2815223040 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 2815223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790766464).

2815223040 is an abundant number, since it is smaller than the sum of its proper divisors (8766309888).

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

2815223040 is an frugal number, since it uses more digits than its factorization.

2815223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2815223040 is about 53058.6754452088. The cubic root of 2815223040 is about 1412.0094481575.

The spelling of 2815223040 in words is "two billion, eight hundred fifteen million, two hundred twenty-three thousand, forty".