2415145960920 has 768 divisors, whose sum is σ = 9467683729920. Its totient is φ = 487013990400.

The previous prime is 2415145960859. The next prime is 2415145960933. The reversal of 2415145960920 is 290695415142.

It is a self number, because there is not a number n which added to its sum of digits gives 2415145960920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1117604640 + ... + 1117606800.

It is an arithmetic number, because the mean of its divisors is an integer number (12327713190).

Almost surely, 2^{2415145960920} is an apocalyptic number.

2415145960920 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 2415145960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733841864960).

2415145960920 is an abundant number, since it is smaller than the sum of its proper divisors (7052537769000).

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

2415145960920 is a wasteful number, since it uses less digits than its factorization.

2415145960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 2415145960920 in words is "two trillion, four hundred fifteen billion, one hundred forty-five million, nine hundred sixty thousand, nine hundred twenty".