2953234606080 has 1152 divisors, whose sum is σ = 11150726146560. Its totient is φ = 661304770560.

The previous prime is 2953234606067. The next prime is 2953234606109. The reversal of 2953234606080 is 806064323592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5245531879 + ... + 5245532441.

It is an arithmetic number, because the mean of its divisors is an integer number (9679449780).

Almost surely, 2^{2953234606080} is an apocalyptic number.

2953234606080 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 2953234606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575363073280).

2953234606080 is an abundant number, since it is smaller than the sum of its proper divisors (8197491540480).

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

2953234606080 is a wasteful number, since it uses less digits than its factorization.

2953234606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 2953234606080 in words is "two trillion, nine hundred fifty-three billion, two hundred thirty-four million, six hundred six thousand, eighty".