2122538970240 has 768 divisors, whose sum is σ = 8167209523200. Its totient is φ = 504414535680.

The previous prime is 2122538970221. The next prime is 2122538970259. The reversal of 2122538970240 is 420798352212.

2122538970240 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 538 + 9 + 70 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2122538970221) and next prime (2122538970259).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320807517 + ... + 1320809123.

It is an arithmetic number, because the mean of its divisors is an integer number (10634387400).

Almost surely, 2^{2122538970240} is an apocalyptic number.

2122538970240 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 2122538970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083604761600).

2122538970240 is an abundant number, since it is smaller than the sum of its proper divisors (6044670552960).

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

2122538970240 is a wasteful number, since it uses less digits than its factorization.

2122538970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2122538970240 in words is "two trillion, one hundred twenty-two billion, five hundred thirty-eight million, nine hundred seventy thousand, two hundred forty".