2669429125440 has 1344 divisors, whose sum is σ = 12376229898240. Its totient is φ = 511260180480.

The previous prime is 2669429125439. The next prime is 2669429125453. The reversal of 2669429125440 is 445219249662.

It is a happy number.

2669429125440 is a `hidden beast` number, since 2 + 6 + 6 + 9 + 4 + 2 + 91 + 2 + 544 + 0 = 666.

2669429125440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155888719 + ... + 155905841.

Almost surely, 2^{2669429125440} is an apocalyptic number.

2669429125440 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 2669429125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188114949120).

2669429125440 is an abundant number, since it is smaller than the sum of its proper divisors (9706800772800).

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

2669429125440 is a wasteful number, since it uses less digits than its factorization.

2669429125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17220 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2669429125440 in words is "two trillion, six hundred sixty-nine billion, four hundred twenty-nine million, one hundred twenty-five thousand, four hundred forty".