2542275561600 has 288 divisors, whose sum is σ = 9095146444800. Its totient is φ = 676167137280.

The previous prime is 2542275561593. The next prime is 2542275561619. The reversal of 2542275561600 is 61655722452.

2542275561600 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 27 + 5 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2542275561600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10915161 + ... + 11145639.

It is an arithmetic number, because the mean of its divisors is an integer number (31580369600).

Almost surely, 2^{2542275561600} is an apocalyptic number.

2542275561600 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 2542275561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547573222400).

2542275561600 is an abundant number, since it is smaller than the sum of its proper divisors (6552870883200).

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

2542275561600 is a wasteful number, since it uses less digits than its factorization.

2542275561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230892 (or 230872 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2542275561600 in words is "two trillion, five hundred forty-two billion, two hundred seventy-five million, five hundred sixty-one thousand, six hundred".