2415405144220 has 96 divisors (see below), whose sum is σ = 5123724984000. Its totient is φ = 956427546624.

The previous prime is 2415405144143. The next prime is 2415405144289. The reversal of 2415405144220 is 224415045142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1622165236 + ... + 1622166724.

It is an arithmetic number, because the mean of its divisors is an integer number (53372135250).

Almost surely, 2^{2415405144220} is an apocalyptic number.

2415405144220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2415405144220 is an abundant number, since it is smaller than the sum of its proper divisors (2708319839780).

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

2415405144220 is a wasteful number, since it uses less digits than its factorization.

2415405144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 2415405144220 in words is "two trillion, four hundred fifteen billion, four hundred five million, one hundred forty-four thousand, two hundred twenty".