2626961481144 has 1440 divisors, whose sum is σ = 10132750172160. Its totient is φ = 622079377920.

The previous prime is 2626961481139. The next prime is 2626961481161. The reversal of 2626961481144 is 4411841696262.

2626961481144 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 9 + 614 + 8 + 1 + 14 + 4 = 666.

2626961481144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11780096217 + ... + 11780096439.

It is an arithmetic number, because the mean of its divisors is an integer number (7036632064).

Almost surely, 2^{2626961481144} is an apocalyptic number.

2626961481144 is a gapful number since it is divisible by the number (24) 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 2626961481144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066375086080).

2626961481144 is an abundant number, since it is smaller than the sum of its proper divisors (7505788691016).

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

2626961481144 is a wasteful number, since it uses less digits than its factorization.

2626961481144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 386 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 2626961481144 in words is "two trillion, six hundred twenty-six billion, nine hundred sixty-one million, four hundred eighty-one thousand, one hundred forty-four".