2070300608640 has 2048 divisors, whose sum is σ = 8654874624000. Its totient is φ = 462938112000.

The previous prime is 2070300608591. The next prime is 2070300608657. The reversal of 2070300608640 is 468060030702.

2070300608640 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 3 + 0 + 0 + 6 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×2070300608640² (a number of 25 digits) contains 22 as substring.

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 = 2070300608595 and 2070300608604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15803821375 + ... + 15803821505.

It is an arithmetic number, because the mean of its divisors is an integer number (4226013000).

Almost surely, 2^{2070300608640} is an apocalyptic number.

2070300608640 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 2070300608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327437312000).

2070300608640 is an abundant number, since it is smaller than the sum of its proper divisors (6584574015360).

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

2070300608640 is a wasteful number, since it uses less digits than its factorization.

2070300608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2070300608640 in words is "two trillion, seventy billion, three hundred million, six hundred eight thousand, six hundred forty".