2603232051552 has 288 divisors, whose sum is σ = 8289962029440. Its totient is φ = 768031488000.

The previous prime is 2603232051509. The next prime is 2603232051583. The reversal of 2603232051552 is 2551502323062.

2603232051552 is a `hidden beast` number, since 2 + 6 + 0 + 32 + 3 + 20 + 51 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2603232051552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63754599 + ... + 63795417.

It is an arithmetic number, because the mean of its divisors is an integer number (28784590380).

Almost surely, 2^{2603232051552} is an apocalyptic number.

2603232051552 is a gapful number since it is divisible by the number (22) 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 2603232051552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144981014720).

2603232051552 is an abundant number, since it is smaller than the sum of its proper divisors (5686729977888).

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

2603232051552 is a wasteful number, since it uses less digits than its factorization.

2603232051552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41378 (or 41367 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2603232051552 in words is "two trillion, six hundred three billion, two hundred thirty-two million, fifty-one thousand, five hundred fifty-two".