2135547456 has 56 divisors (see below), whose sum is σ = 6457492800. Its totient is φ = 610156032.

The previous prime is 2135547451. The next prime is 2135547461. The reversal of 2135547456 is 6547455312.

It is an interprime number because it is at equal distance from previous prime (2135547451) and next prime (2135547461).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2135547451) 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 7 ways as a sum of consecutive naturals, for example, 793131 + ... + 795818.

Almost surely, 2^2135547456 is an apocalyptic number.

It is an amenable number.

2135547456 is an abundant number, since it is smaller than the sum of its proper divisors (4321945344).

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

2135547456 is a wasteful number, since it uses less digits than its factorization.

2135547456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588971 (or 1588961 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 2135547456 is about 46211.9839002828. The cubic root of 2135547456 is about 1287.7643821411.

The spelling of 2135547456 in words is "two billion, one hundred thirty-five million, five hundred forty-seven thousand, four hundred fifty-six".