2345355540 has 192 divisors, whose sum is σ = 8306565120. Its totient is φ = 543818880.

The previous prime is 2345355527. The next prime is 2345355553. The reversal of 2345355540 is 455535432.

2345355540 is a `hidden beast` number, since 2 + 34 + 535 + 55 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2345355527) and next prime (2345355553).

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 = 2345355495 and 2345355504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128037 + ... + 145203.

It is an arithmetic number, because the mean of its divisors is an integer number (43263360).

Almost surely, 2^2345355540 is an apocalyptic number.

2345355540 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 2345355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153282560).

2345355540 is an abundant number, since it is smaller than the sum of its proper divisors (5961209580).

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

2345355540 is a wasteful number, since it uses less digits than its factorization.

2345355540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17219 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The square root of 2345355540 is about 48428.8709345985. The cubic root of 2345355540 is about 1328.6264561718.

The spelling of 2345355540 in words is "two billion, three hundred forty-five million, three hundred fifty-five thousand, five hundred forty".