2391075129672 has 256 divisors, whose sum is σ = 7095702643200. Its totient is φ = 743432601600.

The previous prime is 2391075129649. The next prime is 2391075129731. The reversal of 2391075129672 is 2769215701932.

2391075129672 is a `hidden beast` number, since 2 + 39 + 1 + 0 + 7 + 512 + 96 + 7 + 2 = 666.

It is a super-2 number, since 2×2391075129672² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231172933 + ... + 231183275.

It is an arithmetic number, because the mean of its divisors is an integer number (27717588450).

Almost surely, 2^{2391075129672} 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 2391075129672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547851321600).

2391075129672 is an abundant number, since it is smaller than the sum of its proper divisors (4704627513528).

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

2391075129672 is a wasteful number, since it uses less digits than its factorization.

2391075129672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 2391075129672 in words is "two trillion, three hundred ninety-one billion, seventy-five million, one hundred twenty-nine thousand, six hundred seventy-two".