2355667440 has 160 divisors (see below), whose sum is σ = 8429031936. Its totient is φ = 533068800.

The previous prime is 2355667427. The next prime is 2355667459. The reversal of 2355667440 is 447665532.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2355667392 and 2355667401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162739 + ... + 176621.

Almost surely, 2^2355667440 is an apocalyptic number.

2355667440 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 2355667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214515968).

2355667440 is an abundant number, since it is smaller than the sum of its proper divisors (6073364496).

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

2355667440 is a wasteful number, since it uses less digits than its factorization.

2355667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 14001 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 2355667440 is about 48535.2185531290. The cubic root of 2355667440 is about 1330.5708142079.

The spelling of 2355667440 in words is "two billion, three hundred fifty-five million, six hundred sixty-seven thousand, four hundred forty".