2625117452640 has 336 divisors, whose sum is σ = 9313277805216. Its totient is φ = 698919321600.

The previous prime is 2625117452621. The next prime is 2625117452719. The reversal of 2625117452640 is 462547115262.

2625117452640 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 11 + 74 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 74748685 + ... + 74783795.

It is an arithmetic number, because the mean of its divisors is an integer number (27718088706).

Almost surely, 2^{2625117452640} is an apocalyptic number.

2625117452640 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 2625117452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656638902608).

2625117452640 is an abundant number, since it is smaller than the sum of its proper divisors (6688160352576).

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

2625117452640 is an equidigital number, since it uses as much as digits as its factorization.

2625117452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35785 (or 35762 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2625117452640 in words is "two trillion, six hundred twenty-five billion, one hundred seventeen million, four hundred fifty-two thousand, six hundred forty".