2652003574000 has 320 divisors, whose sum is σ = 7187288734080. Its totient is φ = 938065920000.

The previous prime is 2652003573937. The next prime is 2652003574009. The reversal of 2652003574000 is 4753002562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652003574009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318401836 + ... + 318410164.

It is an arithmetic number, because the mean of its divisors is an integer number (22460277294).

Almost surely, 2^{2652003574000} is an apocalyptic number.

2652003574000 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 2652003574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593644367040).

2652003574000 is an abundant number, since it is smaller than the sum of its proper divisors (4535285160080).

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

2652003574000 is a wasteful number, since it uses less digits than its factorization.

2652003574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 2652003574000 its reverse (4753002562), we get a palindrome (2656756576562).

The spelling of 2652003574000 in words is "two trillion, six hundred fifty-two billion, three million, five hundred seventy-four thousand".