2665374553920 has 896 divisors, whose sum is σ = 9647187443712. Its totient is φ = 619606056960.

The previous prime is 2665374553909. The next prime is 2665374553957. The reversal of 2665374553920 is 293554735662.

It is a happy number.

It is a super-3 number, since 3×2665374553920³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 24910042507 + ... + 24910042613.

It is an arithmetic number, because the mean of its divisors is an integer number (10766950272).

Almost surely, 2^{2665374553920} is an apocalyptic number.

2665374553920 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 2665374553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823593721856).

2665374553920 is an abundant number, since it is smaller than the sum of its proper divisors (6981812889792).

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

2665374553920 is a wasteful number, since it uses less digits than its factorization.

2665374553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 57.

The spelling of 2665374553920 in words is "two trillion, six hundred sixty-five billion, three hundred seventy-four million, five hundred fifty-three thousand, nine hundred twenty".