2354455040 has 320 divisors, whose sum is σ = 6851775744. Its totient is φ = 759103488.

The previous prime is 2354455021. The next prime is 2354455073. The reversal of 2354455040 is 405544532.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2354454988 and 2354455006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35141087 + ... + 35141153.

Almost surely, 2^2354455040 is an apocalyptic number.

2354455040 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 2354455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425887872).

2354455040 is an abundant number, since it is smaller than the sum of its proper divisors (4497320704).

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

2354455040 is an equidigital number, since it uses as much as digits as its factorization.

2354455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 2354455040 is about 48522.7270461997. The cubic root of 2354455040 is about 1330.3425051150.

Adding to 2354455040 its reverse (405544532), we get a palindrome (2759999572).

The spelling of 2354455040 in words is "two billion, three hundred fifty-four million, four hundred fifty-five thousand, forty".