2415049891200 has 864 divisors, whose sum is σ = 9037162321200. Its totient is φ = 613960704000.

The previous prime is 2415049891193. The next prime is 2415049891201. The reversal of 2415049891200 is 21989405142.

It is a happy number.

2415049891200 is a `hidden beast` number, since 2 + 4 + 1 + 50 + 498 + 91 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415049891201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1965052186 + ... + 1965053414.

Almost surely, 2^{2415049891200} is an apocalyptic number.

2415049891200 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 2415049891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518581160600).

2415049891200 is an abundant number, since it is smaller than the sum of its proper divisors (6622112430000).

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

2415049891200 is a wasteful number, since it uses less digits than its factorization.

2415049891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2415049891200 in words is "two trillion, four hundred fifteen billion, forty-nine million, eight hundred ninety-one thousand, two hundred".