2351035505340 has 144 divisors (see below), whose sum is σ = 7218806658336. Its totient is φ = 619268198400.

The previous prime is 2351035505309. The next prime is 2351035505353. The reversal of 2351035505340 is 435055301532.

2351035505340 is a `hidden beast` number, since 2 + 3 + 5 + 10 + 3 + 550 + 53 + 40 = 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 = 2351035505295 and 2351035505304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96814000 + ... + 96838280.

It is an arithmetic number, because the mean of its divisors is an integer number (50130601794).

Almost surely, 2^{2351035505340} is an apocalyptic number.

2351035505340 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 2351035505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609403329168).

2351035505340 is an abundant number, since it is smaller than the sum of its proper divisors (4867771152996).

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

2351035505340 is a wasteful number, since it uses less digits than its factorization.

2351035505340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30860 (or 30855 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 2351035505340 in words is "two trillion, three hundred fifty-one billion, thirty-five million, five hundred five thousand, three hundred forty".