2545617480000 has 280 divisors, whose sum is σ = 9618752164032. Its totient is φ = 581855232000.

The previous prime is 2545617479959. The next prime is 2545617480041. The reversal of 2545617480000 is 847165452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2545617479959) and next prime (2545617480041).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 675249 + ... + 2355248.

Almost surely, 2^{2545617480000} is an apocalyptic number.

2545617480000 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 2545617480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809376082016).

2545617480000 is an abundant number, since it is smaller than the sum of its proper divisors (7073134684032).

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

2545617480000 is an equidigital number, since it uses as much as digits as its factorization.

2545617480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030539 (or 3030514 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 2545617480000 in words is "two trillion, five hundred forty-five billion, six hundred seventeen million, four hundred eighty thousand".