2542868640000 has 2160 divisors, whose sum is σ = 10540216800960. Its totient is φ = 611380224000.

The previous prime is 2542868639999. The next prime is 2542868640049. The reversal of 2542868640000 is 468682452.

2542868640000 is a `hidden beast` number, since 2 + 542 + 8 + 68 + 6 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 59136479979 + ... + 59136480021.

Almost surely, 2^{2542868640000} is an apocalyptic number.

2542868640000 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 2542868640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270108400480).

2542868640000 is an abundant number, since it is smaller than the sum of its proper divisors (7997348160960).

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

2542868640000 is an frugal number, since it uses more digits than its factorization.

2542868640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2542868640000 in words is "two trillion, five hundred forty-two billion, eight hundred sixty-eight million, six hundred forty thousand".