2107376640 has 528 divisors, whose sum is σ = 8047166400. Its totient is φ = 507838464.

The previous prime is 2107376639. The next prime is 2107376651. The reversal of 2107376640 is 466737012.

2107376640 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 3 + 7 + 6 + 640 = 666.

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 = 2107376595 and 2107376604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25390039 + ... + 25390121.

Almost surely, 2^2107376640 is an apocalyptic number.

2107376640 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 2107376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023583200).

2107376640 is an abundant number, since it is smaller than the sum of its proper divisors (5939789760).

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

2107376640 is a wasteful number, since it uses less digits than its factorization.

2107376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2107376640 is about 45906.1721340388. The cubic root of 2107376640 is about 1282.0768367835.

The spelling of 2107376640 in words is "two billion, one hundred seven million, three hundred seventy-six thousand, six hundred forty".