2352097440 has 480 divisors, whose sum is σ = 10353619584. Its totient is φ = 488540160.

The previous prime is 2352097399. The next prime is 2352097477. The reversal of 2352097440 is 447902532.

2352097440 is a `hidden beast` number, since 2 + 3 + 5 + 209 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2352097395 and 2352097404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 996742 + ... + 999098.

Almost surely, 2^2352097440 is an apocalyptic number.

2352097440 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 2352097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176809792).

2352097440 is an abundant number, since it is smaller than the sum of its proper divisors (8001522144).

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

2352097440 is a wasteful number, since it uses less digits than its factorization.

2352097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2352097440 is about 48498.4271909925. The cubic root of 2352097440 is about 1329.8983169855.

Adding to 2352097440 its reverse (447902532), we get a palindrome (2799999972).

The spelling of 2352097440 in words is "two billion, three hundred fifty-two million, ninety-seven thousand, four hundred forty".