2131029522648 has 384 divisors, whose sum is σ = 6471304519680. Its totient is φ = 629255070720.

The previous prime is 2131029522607. The next prime is 2131029522689. The reversal of 2131029522648 is 8462259201312.

2131029522648 is a `hidden beast` number, since 2 + 1 + 310 + 29 + 52 + 264 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2131029522607) and next prime (2131029522689).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009487113 + ... + 1009489223.

It is an arithmetic number, because the mean of its divisors is an integer number (16852355520).

Almost surely, 2^{2131029522648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131029522648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235652259840).

2131029522648 is an abundant number, since it is smaller than the sum of its proper divisors (4340274997032).

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

2131029522648 is a wasteful number, since it uses less digits than its factorization.

2131029522648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2131029522648 in words is "two trillion, one hundred thirty-one billion, twenty-nine million, five hundred twenty-two thousand, six hundred forty-eight".