2107064294640 has 240 divisors, whose sum is σ = 7340634502656. Its totient is φ = 561705580800.

The previous prime is 2107064294623. The next prime is 2107064294651. The reversal of 2107064294640 is 464924607012.

2107064294640 is a `hidden beast` number, since 2 + 107 + 0 + 64 + 29 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68238405 + ... + 68269275.

Almost surely, 2^{2107064294640} is an apocalyptic number.

2107064294640 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 2107064294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670317251328).

2107064294640 is an abundant number, since it is smaller than the sum of its proper divisors (5233570208016).

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

2107064294640 is a wasteful number, since it uses less digits than its factorization.

2107064294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34410 (or 34392 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2107064294640 in words is "two trillion, one hundred seven billion, sixty-four million, two hundred ninety-four thousand, six hundred forty".