2653468488090 has 256 divisors, whose sum is σ = 8225950924800. Its totient is φ = 596136962304.

The previous prime is 2653468488061. The next prime is 2653468488157. The reversal of 2653468488090 is 908848643562.

2653468488090 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 4 + 68 + 488 + 0 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33256284 + ... + 33335976.

It is an arithmetic number, because the mean of its divisors is an integer number (32132620800).

Almost surely, 2^{2653468488090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653468488090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112975462400).

2653468488090 is an abundant number, since it is smaller than the sum of its proper divisors (5572482436710).

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

2653468488090 is a wasteful number, since it uses less digits than its factorization.

2653468488090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80018 (or 80012 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2653468488090 in words is "two trillion, six hundred fifty-three billion, four hundred sixty-eight million, four hundred eighty-eight thousand, ninety".