2733528448950 has 144 divisors (see below), whose sum is σ = 7409349360576. Its totient is φ = 666579388800.

The previous prime is 2733528448877. The next prime is 2733528448951. The reversal of 2733528448950 is 598448253372.

It is a super-2 number, since 2×2733528448950² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733528448951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2208565 + ... + 3216335.

It is an arithmetic number, because the mean of its divisors is an integer number (51453815004).

Almost surely, 2^{2733528448950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2733528448950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704674680288).

2733528448950 is an abundant number, since it is smaller than the sum of its proper divisors (4675820911626).

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

2733528448950 is a wasteful number, since it uses less digits than its factorization.

2733528448950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007919 (or 1007901 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 2733528448950 in words is "two trillion, seven hundred thirty-three billion, five hundred twenty-eight million, four hundred forty-eight thousand, nine hundred fifty".