2348555040 has 768 divisors, whose sum is σ = 9754214400. Its totient is φ = 522547200.

The previous prime is 2348555039. The next prime is 2348555081. The reversal of 2348555040 is 405558432.

2348555040 is a `hidden beast` number, since 23 + 4 + 85 + 550 + 4 + 0 = 666.

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 = 2348554986 and 2348555004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33078205 + ... + 33078275.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^2348555040 is an apocalyptic number.

2348555040 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 2348555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2348555040 is an abundant number, since it is smaller than the sum of its proper divisors (7405659360).

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

2348555040 is a wasteful number, since it uses less digits than its factorization.

2348555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2348555040 is about 48461.8926580463. The cubic root of 2348555040 is about 1329.2303459608.

The spelling of 2348555040 in words is "two billion, three hundred forty-eight million, five hundred fifty-five thousand, forty".