2258545536 has 384 divisors, whose sum is σ = 7485004800. Its totient is φ = 648400896.

The previous prime is 2258545529. The next prime is 2258545543. The reversal of 2258545536 is 6355458522.

2258545536 is a `hidden beast` number, since 2 + 2 + 58 + 545 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2258545529) and next prime (2258545543).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2258545491 and 2258545500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27211351 + ... + 27211433.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^2258545536 is an apocalyptic number.

2258545536 is a gapful number since it is divisible by the number (26) 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 2258545536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742502400).

2258545536 is an abundant number, since it is smaller than the sum of its proper divisors (5226459264).

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

2258545536 is a wasteful number, since it uses less digits than its factorization.

2258545536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 2258545536 is about 47524.1573938981. The cubic root of 2258545536 is about 1312.0275375937.

It can be divided in two parts, 22585 and 45536, that added together give a square (68121 = 261²).

The spelling of 2258545536 in words is "two billion, two hundred fifty-eight million, five hundred forty-five thousand, five hundred thirty-six".