2665417248000 has 1728 divisors, whose sum is σ = 10796969723904. Its totient is φ = 627056640000.

The previous prime is 2665417247989. The next prime is 2665417248017. The reversal of 2665417248000 is 8427145662.

2665417248000 is a `hidden beast` number, since 2 + 6 + 6 + 541 + 7 + 24 + 80 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9835487865 + ... + 9835488135.

It is an arithmetic number, because the mean of its divisors is an integer number (6248246368).

Almost surely, 2^{2665417248000} is an apocalyptic number.

2665417248000 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 2665417248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398484861952).

2665417248000 is an abundant number, since it is smaller than the sum of its proper divisors (8131552475904).

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

2665417248000 is a wasteful number, since it uses less digits than its factorization.

2665417248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2665417248000 in words is "two trillion, six hundred sixty-five billion, four hundred seventeen million, two hundred forty-eight thousand".