2415425232000 has 384 divisors, whose sum is σ = 8801251804800. Its totient is φ = 585556224000.

The previous prime is 2415425231969. The next prime is 2415425232071. The reversal of 2415425232000 is 2325245142.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 5600061 + ... + 6015939.

It is an arithmetic number, because the mean of its divisors is an integer number (22919926575).

Almost surely, 2^{2415425232000} is an apocalyptic number.

2415425232000 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 2415425232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400625902400).

2415425232000 is an abundant number, since it is smaller than the sum of its proper divisors (6385826572800).

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

2415425232000 is a wasteful number, since it uses less digits than its factorization.

2415425232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415933 (or 415900 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2415425232000 in words is "two trillion, four hundred fifteen billion, four hundred twenty-five million, two hundred thirty-two thousand".