2352636887040 has 1728 divisors, whose sum is σ = 9893150991360. Its totient is φ = 529992253440.

The previous prime is 2352636887017. The next prime is 2352636887101. The reversal of 2352636887040 is 407886362532.

2352636887040 is a `hidden beast` number, since 2 + 3 + 526 + 3 + 6 + 8 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2352636887040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29780213721 + ... + 29780213799.

It is an arithmetic number, because the mean of its divisors is an integer number (5725203120).

Almost surely, 2^{2352636887040} is an apocalyptic number.

2352636887040 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 2352636887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946575495680).

2352636887040 is an abundant number, since it is smaller than the sum of its proper divisors (7540514104320).

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

2352636887040 is an frugal number, since it uses more digits than its factorization.

2352636887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2352636887040 in words is "two trillion, three hundred fifty-two billion, six hundred thirty-six million, eight hundred eighty-seven thousand, forty".