2124454563140 has 576 divisors, whose sum is σ = 5957154201600. Its totient is φ = 621207595008.

The previous prime is 2124454563131. The next prime is 2124454563157. The reversal of 2124454563140 is 413654544212.

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, 4588454549 + ... + 4588455011.

It is an arithmetic number, because the mean of its divisors is an integer number (10342281600).

Almost surely, 2^{2124454563140} is an apocalyptic number.

2124454563140 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 2124454563140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978577100800).

2124454563140 is an abundant number, since it is smaller than the sum of its proper divisors (3832699638460).

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

2124454563140 is a wasteful number, since it uses less digits than its factorization.

2124454563140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 2124454563140 in words is "two trillion, one hundred twenty-four billion, four hundred fifty-four million, five hundred sixty-three thousand, one hundred forty".