2506884733440 has 1260 divisors, whose sum is σ = 9669596747382. Its totient is φ = 622935982080.

The previous prime is 2506884733439. The next prime is 2506884733487. The reversal of 2506884733440 is 443374886052.

2506884733440 is a `hidden beast` number, since 2 + 50 + 6 + 8 + 84 + 73 + 3 + 440 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 582694062336 + 1924190671104 = 763344^2 + 1387152^2 .

It is a super-3 number, since 3×2506884733440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 41096471010 + ... + 41096471070.

Almost surely, 2^{2506884733440} is an apocalyptic number.

2506884733440 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 2506884733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834798373691).

2506884733440 is an abundant number, since it is smaller than the sum of its proper divisors (7162712013942).

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

2506884733440 is an frugal number, since it uses more digits than its factorization.

2506884733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2506884733440 in words is "two trillion, five hundred six billion, eight hundred eighty-four million, seven hundred thirty-three thousand, four hundred forty".