2078641837440 has 512 divisors, whose sum is σ = 8640962150400. Its totient is φ = 462276108288.

The previous prime is 2078641837429. The next prime is 2078641837543. The reversal of 2078641837440 is 447381468702.

2078641837440 is a `hidden beast` number, since 2 + 0 + 7 + 86 + 41 + 83 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4243297 + ... + 4707743.

It is an arithmetic number, because the mean of its divisors is an integer number (16876879200).

Almost surely, 2^{2078641837440} is an apocalyptic number.

2078641837440 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 2078641837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320481075200).

2078641837440 is an abundant number, since it is smaller than the sum of its proper divisors (6562320312960).

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

2078641837440 is a wasteful number, since it uses less digits than its factorization.

2078641837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464519 (or 464501 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2078641837440 in words is "two trillion, seventy-eight billion, six hundred forty-one million, eight hundred thirty-seven thousand, four hundred forty".