2501302343040 has 512 divisors, whose sum is σ = 8985746304000. Its totient is φ = 665705723904.

The previous prime is 2501302343039. The next prime is 2501302343051. The reversal of 2501302343040 is 403432031052.

2501302343040 is a `hidden beast` number, since 2 + 50 + 1 + 302 + 3 + 4 + 304 + 0 = 666.

It is a super-2 number, since 2×2501302343040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2501302342995 and 2501302343013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866400477 + ... + 866403363.

It is an arithmetic number, because the mean of its divisors is an integer number (17550285750).

Almost surely, 2^{2501302343040} is an apocalyptic number.

2501302343040 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 2501302343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492873152000).

2501302343040 is an abundant number, since it is smaller than the sum of its proper divisors (6484443960960).

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

2501302343040 is an frugal number, since it uses more digits than its factorization.

2501302343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2501302343040 its reverse (403432031052), we get a palindrome (2904734374092).

The spelling of 2501302343040 in words is "two trillion, five hundred one billion, three hundred two million, three hundred forty-three thousand, forty".