2958172560 has 120 divisors (see below), whose sum is σ = 11353767360. Its totient is φ = 676152576.

The previous prime is 2958172559. The next prime is 2958172561. The reversal of 2958172560 is 652718592.

2958172560 is a `hidden beast` number, since 2 + 9 + 5 + 81 + 7 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2958172559) and next prime (2958172561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2958172561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288430 + ... + 298509.

It is an arithmetic number, because the mean of its divisors is an integer number (94614728).

Almost surely, 2^2958172560 is an apocalyptic number.

2958172560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2958172560 is an abundant number, since it is smaller than the sum of its proper divisors (8395594800).

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

2958172560 is a wasteful number, since it uses less digits than its factorization.

2958172560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586965 (or 586956 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2958172560 is about 54389.0849343873. The cubic root of 2958172560 is about 1435.5153300563.

The spelling of 2958172560 in words is "two billion, nine hundred fifty-eight million, one hundred seventy-two thousand, five hundred sixty".