2074234443840 has 560 divisors, whose sum is σ = 7957412472240. Its totient is φ = 509846814720.

The previous prime is 2074234443839. The next prime is 2074234443887. The reversal of 2074234443840 is 483444324702.

It is a happy number.

2074234443840 is a `hidden beast` number, since 207 + 4 + 2 + 3 + 4 + 4 + 438 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1413226419264 + 661008024576 = 1188792^2 + 813024^2 .

It is a super-2 number, since 2×2074234443840² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256422516 + ... + 256430604.

It is an arithmetic number, because the mean of its divisors is an integer number (14209665129).

Almost surely, 2^{2074234443840} is an apocalyptic number.

2074234443840 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 2074234443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978706236120).

2074234443840 is an abundant number, since it is smaller than the sum of its proper divisors (5883178028400).

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

2074234443840 is a wasteful number, since it uses less digits than its factorization.

2074234443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 2074234443840 in words is "two trillion, seventy-four billion, two hundred thirty-four million, four hundred forty-three thousand, eight hundred forty".