2534664504960 has 1152 divisors, whose sum is σ = 10509187328640. Its totient is φ = 560867328000.

The previous prime is 2534664504929. The next prime is 2534664504971. The reversal of 2534664504960 is 694054664352.

2534664504960 is a `hidden beast` number, since 2 + 5 + 3 + 46 + 6 + 4 + 504 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 2534664504897 and 2534664504906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2621162397 + ... + 2621163363.

It is an arithmetic number, because the mean of its divisors is an integer number (9122558445).

Almost surely, 2^{2534664504960} is an apocalyptic number.

2534664504960 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 2534664504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254593664320).

2534664504960 is an abundant number, since it is smaller than the sum of its proper divisors (7974522823680).

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

2534664504960 is a wasteful number, since it uses less digits than its factorization.

2534664504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 2534664504960 in words is "two trillion, five hundred thirty-four billion, six hundred sixty-four million, five hundred four thousand, nine hundred sixty".