2354435040 has 96 divisors (see below), whose sum is σ = 7447610016. Its totient is φ = 625213440.

The previous prime is 2354435033. The next prime is 2354435053. The reversal of 2354435040 is 405344532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2354434989 and 2354435007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105504 + ... + 125856.

It is an arithmetic number, because the mean of its divisors is an integer number (77579271).

Almost surely, 2^2354435040 is an apocalyptic number.

2354435040 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 2354435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723805008).

2354435040 is an abundant number, since it is smaller than the sum of its proper divisors (5093174976).

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

2354435040 is a wasteful number, since it uses less digits than its factorization.

2354435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20604 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2354435040 is about 48522.5209567681. The cubic root of 2354435040 is about 1330.3387382242.

Adding to 2354435040 its reverse (405344532), we get a palindrome (2759779572).

The spelling of 2354435040 in words is "two billion, three hundred fifty-four million, four hundred thirty-five thousand, forty".