2653149095520 has 1536 divisors, whose sum is σ = 11236854988800. Its totient is φ = 509657702400.

The previous prime is 2653149095489. The next prime is 2653149095533. The reversal of 2653149095520 is 255909413562.

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 255 ways as a sum of consecutive naturals, for example, 6332097871 + ... + 6332098289.

It is an arithmetic number, because the mean of its divisors is an integer number (7315660800).

Almost surely, 2^{2653149095520} is an apocalyptic number.

2653149095520 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 2653149095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618427494400).

2653149095520 is an abundant number, since it is smaller than the sum of its proper divisors (8583705893280).

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

2653149095520 is a wasteful number, since it uses less digits than its factorization.

2653149095520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 2653149095520 in words is "two trillion, six hundred fifty-three billion, one hundred forty-nine million, ninety-five thousand, five hundred twenty".