2682153905007 has 16 divisors (see below), whose sum is σ = 3666781627488. Its totient is φ = 1742894200320.

The previous prime is 2682153904961. The next prime is 2682153905017. The reversal of 2682153905007 is 7005093512862.

It is not a de Polignac number, because 2682153905007 - 2¹⁵ = 2682153872239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682153905017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9840918 + ... + 10109795.

It is an arithmetic number, because the mean of its divisors is an integer number (229173851718).

Almost surely, 2^{2682153905007} is an apocalyptic number.

2682153905007 is a deficient number, since it is larger than the sum of its proper divisors (984627722481).

2682153905007 is a wasteful number, since it uses less digits than its factorization.

2682153905007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951850.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 2682153905007 in words is "two trillion, six hundred eighty-two billion, one hundred fifty-three million, nine hundred five thousand, seven".