2340367961100 has 288 divisors, whose sum is σ = 7431844331520. Its totient is φ = 565163688960.

The previous prime is 2340367961083. The next prime is 2340367961101. The reversal of 2340367961100 is 11697630432.

It is a super-3 number, since 3×2340367961100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2340367961101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48347509 + ... + 48395891.

It is an arithmetic number, because the mean of its divisors is an integer number (25805015040).

Almost surely, 2^{2340367961100} is an apocalyptic number.

2340367961100 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 2340367961100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715922165760).

2340367961100 is an abundant number, since it is smaller than the sum of its proper divisors (5091476370420).

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

2340367961100 is a wasteful number, since it uses less digits than its factorization.

2340367961100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48649 (or 48642 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 2340367961100 in words is "two trillion, three hundred forty billion, three hundred sixty-seven million, nine hundred sixty-one thousand, one hundred".