2134492560 has 240 divisors, whose sum is σ = 7563890880. Its totient is φ = 559249920.

The previous prime is 2134492553. The next prime is 2134492561. The reversal of 2134492560 is 652944312.

It is a happy number.

2134492560 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 92 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2134492561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1146030 + ... + 1147890.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^2134492560 is an apocalyptic number.

2134492560 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 2134492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781945440).

2134492560 is an abundant number, since it is smaller than the sum of its proper divisors (5429398320).

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

2134492560 is a wasteful number, since it uses less digits than its factorization.

2134492560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2134492560 is about 46200.5688276670. The cubic root of 2134492560 is about 1287.5523083031.

The spelling of 2134492560 in words is "two billion, one hundred thirty-four million, four hundred ninety-two thousand, five hundred sixty".