2107277040 has 320 divisors, whose sum is σ = 7379527680. Its totient is φ = 493102080.

The previous prime is 2107277033. The next prime is 2107277069. The reversal of 2107277040 is 407727012.

2107277040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2107277040² = 8881233046622323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2107276989 and 2107277007.

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, 12927999 + ... + 12928161.

It is an arithmetic number, because the mean of its divisors is an integer number (23061024).

Almost surely, 2^2107277040 is an apocalyptic number.

2107277040 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 2107277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689763840).

2107277040 is an abundant number, since it is smaller than the sum of its proper divisors (5272250640).

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

2107277040 is a wasteful number, since it uses less digits than its factorization.

2107277040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 2107277040 is about 45905.0872997754. The cubic root of 2107277040 is about 1282.0566383905.

The spelling of 2107277040 in words is "two billion, one hundred seven million, two hundred seventy-seven thousand, forty".