2005157207152 has 40 divisors (see below), whose sum is σ = 4247327082240. Its totient is φ = 909466514880.

The previous prime is 2005157207129. The next prime is 2005157207153. The reversal of 2005157207152 is 2517027515002.

It is a super-2 number, since 2×2005157207152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005157207153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12221902 + ... + 12384877.

It is an arithmetic number, because the mean of its divisors is an integer number (106183177056).

Almost surely, 2^{2005157207152} is an apocalyptic number.

2005157207152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2005157207152 is an abundant number, since it is smaller than the sum of its proper divisors (2242169875088).

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

2005157207152 is a wasteful number, since it uses less digits than its factorization.

2005157207152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24607261 (or 24607255 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 37.

The spelling of 2005157207152 in words is "two trillion, five billion, one hundred fifty-seven million, two hundred seven thousand, one hundred fifty-two".