2354116531140 has 576 divisors, whose sum is σ = 8509171507200. Its totient is φ = 520457011200.

The previous prime is 2354116531127. The next prime is 2354116531147. The reversal of 2354116531140 is 411356114532.

2354116531140 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 116 + 531 + 1 + 4 + 0 = 666.

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 = 2354116531095 and 2354116531104.

It is not an unprimeable number, because it can be changed into a prime (2354116531147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225075231 + ... + 225085689.

It is an arithmetic number, because the mean of its divisors is an integer number (14772867200).

Almost surely, 2^{2354116531140} is an apocalyptic number.

2354116531140 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 2354116531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254585753600).

2354116531140 is an abundant number, since it is smaller than the sum of its proper divisors (6155054976060).

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

2354116531140 is a wasteful number, since it uses less digits than its factorization.

2354116531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2354116531140 in words is "two trillion, three hundred fifty-four billion, one hundred sixteen million, five hundred thirty-one thousand, one hundred forty".