2103552514560 has 1280 divisors, whose sum is σ = 8462544076800. Its totient is φ = 435019382784.

The previous prime is 2103552514543. The next prime is 2103552514619. The reversal of 2103552514560 is 654152553012.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2064329731 + ... + 2064330749.

It is an arithmetic number, because the mean of its divisors is an integer number (6611362560).

Almost surely, 2^{2103552514560} is an apocalyptic number.

2103552514560 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 2103552514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231272038400).

2103552514560 is an abundant number, since it is smaller than the sum of its proper divisors (6358991562240).

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

2103552514560 is a wasteful number, since it uses less digits than its factorization.

2103552514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 2103552514560 in words is "two trillion, one hundred three billion, five hundred fifty-two million, five hundred fourteen thousand, five hundred sixty".