2623661025440 has 288 divisors, whose sum is σ = 7776044478720. Its totient is φ = 829167446016.

The previous prime is 2623661025439. The next prime is 2623661025497. The reversal of 2623661025440 is 445201663262.

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 47 ways as a sum of consecutive naturals, for example, 73262579 + ... + 73298381.

It is an arithmetic number, because the mean of its divisors is an integer number (27000154440).

Almost surely, 2^{2623661025440} is an apocalyptic number.

2623661025440 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 2623661025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888022239360).

2623661025440 is an abundant number, since it is smaller than the sum of its proper divisors (5152383453280).

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

2623661025440 is a wasteful number, since it uses less digits than its factorization.

2623661025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36564 (or 36549 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 2623661025440 in words is "two trillion, six hundred twenty-three billion, six hundred sixty-one million, twenty-five thousand, four hundred forty".