2505413403240 has 128 divisors (see below), whose sum is σ = 8203518259200. Its totient is φ = 607077873920.

The previous prime is 2505413403239. The next prime is 2505413403257. The reversal of 2505413403240 is 423043145052.

It is a super-2 number, since 2×2505413403240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263141 + ... + 3183179.

It is an arithmetic number, because the mean of its divisors is an integer number (64089986400).

Almost surely, 2^{2505413403240} is an apocalyptic number.

2505413403240 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 2505413403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101759129600).

2505413403240 is an abundant number, since it is smaller than the sum of its proper divisors (5698104855960).

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

2505413403240 is a wasteful number, since it uses less digits than its factorization.

2505413403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922127 (or 922123 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 2505413403240 its reverse (423043145052), we get a palindrome (2928456548292).

The spelling of 2505413403240 in words is "two trillion, five hundred five billion, four hundred thirteen million, four hundred three thousand, two hundred forty".