2503304540352 has 896 divisors, whose sum is σ = 9806628372480. Its totient is φ = 606183505920.

The previous prime is 2503304540291. The next prime is 2503304540383. The reversal of 2503304540352 is 2530454033052.

2503304540352 is a `hidden beast` number, since 2 + 50 + 3 + 30 + 4 + 540 + 35 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242023693 + ... + 242034035.

Almost surely, 2^{2503304540352} is an apocalyptic number.

2503304540352 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 2503304540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903314186240).

2503304540352 is an abundant number, since it is smaller than the sum of its proper divisors (7303323832128).

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

2503304540352 is a wasteful number, since it uses less digits than its factorization.

2503304540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 2503304540352 in words is "two trillion, five hundred three billion, three hundred four million, five hundred forty thousand, three hundred fifty-two".