2352505386240 has 1152 divisors, whose sum is σ = 9345756672000. Its totient is φ = 557561511936.

The previous prime is 2352505386233. The next prime is 2352505386251. The reversal of 2352505386240 is 426835052532.

2352505386240 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 50 + 538 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 800442691 + ... + 800445629.

It is an arithmetic number, because the mean of its divisors is an integer number (8112636000).

Almost surely, 2^{2352505386240} is an apocalyptic number.

2352505386240 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 2352505386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672878336000).

2352505386240 is an abundant number, since it is smaller than the sum of its proper divisors (6993251285760).

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

2352505386240 is a wasteful number, since it uses less digits than its factorization.

2352505386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2352505386240 in words is "two trillion, three hundred fifty-two billion, five hundred five million, three hundred eighty-six thousand, two hundred forty".