2107292645960 has 128 divisors (see below), whose sum is σ = 4909033451520. Its totient is φ = 813631537152.

The previous prime is 2107292645903. The next prime is 2107292645977. The reversal of 2107292645960 is 695462927012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56120312 + ... + 56157848.

It is an arithmetic number, because the mean of its divisors is an integer number (38351823840).

Almost surely, 2^{2107292645960} is an apocalyptic number.

2107292645960 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 2107292645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454516725760).

2107292645960 is an abundant number, since it is smaller than the sum of its proper divisors (2801740805560).

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

2107292645960 is a wasteful number, since it uses less digits than its factorization.

2107292645960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37975 (or 37971 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 2107292645960 in words is "two trillion, one hundred seven billion, two hundred ninety-two million, six hundred forty-five thousand, nine hundred sixty".