2355506460 has 192 divisors, whose sum is σ = 7626178560. Its totient is φ = 603106560.

The previous prime is 2355506389. The next prime is 2355506477. The reversal of 2355506460 is 646055532.

It is a happy number.

2355506460 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 5 + 0 + 646 + 0 = 666.

It is a super-4 number, since 4×2355506460⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1415589 + ... + 1417251.

It is an arithmetic number, because the mean of its divisors is an integer number (39719680).

Almost surely, 2^2355506460 is an apocalyptic number.

2355506460 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 2355506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813089280).

2355506460 is an abundant number, since it is smaller than the sum of its proper divisors (5270672100).

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

2355506460 is a wasteful number, since it uses less digits than its factorization.

2355506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2355506460 is about 48533.5601414114. The cubic root of 2355506460 is about 1330.5405043029.

The spelling of 2355506460 in words is "two billion, three hundred fifty-five million, five hundred six thousand, four hundred sixty".