2119375440 has 360 divisors, whose sum is σ = 8918444808. Its totient is φ = 447068160.

The previous prime is 2119375439. The next prime is 2119375451. The reversal of 2119375440 is 445739112.

2119375440 is a `hidden beast` number, since 21 + 1 + 93 + 7 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 2111218704 = 2856^2 + 45948^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2119375395 and 2119375404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456330 + ... + 460950.

Almost surely, 2^2119375440 is an apocalyptic number.

2119375440 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 2119375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459222404).

2119375440 is an abundant number, since it is smaller than the sum of its proper divisors (6799069368).

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

2119375440 is a wasteful number, since it uses less digits than its factorization.

2119375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2119375440 is about 46036.6749450913. The cubic root of 2119375440 is about 1284.5054928774.

The spelling of 2119375440 in words is "two billion, one hundred nineteen million, three hundred seventy-five thousand, four hundred forty".