2119347337140 has 1152 divisors, whose sum is σ = 8058047961600. Its totient is φ = 461513687040.

The previous prime is 2119347337049. The next prime is 2119347337183. The reversal of 2119347337140 is 417337439112.

2119347337140 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 3 + 473 + 37 + 140 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2556510246 + ... + 2556511074.

It is an arithmetic number, because the mean of its divisors is an integer number (6994833300).

Almost surely, 2^{2119347337140} is an apocalyptic number.

2119347337140 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 2119347337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029023980800).

2119347337140 is an abundant number, since it is smaller than the sum of its proper divisors (5938700624460).

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

2119347337140 is a wasteful number, since it uses less digits than its factorization.

2119347337140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 2119347337140 in words is "two trillion, one hundred nineteen billion, three hundred forty-seven million, three hundred thirty-seven thousand, one hundred forty".