2150340762240 has 768 divisors, whose sum is σ = 8456375116800. Its totient is φ = 498769920000.

The previous prime is 2150340762197. The next prime is 2150340762259. The reversal of 2150340762240 is 422670430512.

2150340762240 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 3 + 407 + 6 + 2 + 240 = 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 = 2150340762195 and 2150340762204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 174804090 + ... + 174816390.

It is an arithmetic number, because the mean of its divisors is an integer number (11010905100).

Almost surely, 2^{2150340762240} is an apocalyptic number.

2150340762240 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 2150340762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228187558400).

2150340762240 is an abundant number, since it is smaller than the sum of its proper divisors (6306034354560).

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

2150340762240 is a wasteful number, since it uses less digits than its factorization.

2150340762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2150340762240 in words is "two trillion, one hundred fifty billion, three hundred forty million, seven hundred sixty-two thousand, two hundred forty".