2070416418840 has 384 divisors, whose sum is σ = 8470680192000. Its totient is φ = 426038952960.

The previous prime is 2070416418839. The next prime is 2070416418871. The reversal of 2070416418840 is 488146140702.

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

It is a congruent number.

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, 2492586 + ... + 3217734.

It is an arithmetic number, because the mean of its divisors is an integer number (22059063000).

Almost surely, 2^{2070416418840} is an apocalyptic number.

2070416418840 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 2070416418840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235340096000).

2070416418840 is an abundant number, since it is smaller than the sum of its proper divisors (6400263773160).

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

2070416418840 is a wasteful number, since it uses less digits than its factorization.

2070416418840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725287 (or 725280 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2070416418840 in words is "two trillion, seventy billion, four hundred sixteen million, four hundred eighteen thousand, eight hundred forty".