2100651601824 has 72 divisors (see below), whose sum is σ = 5996442003552. Its totient is φ = 697554752640.

The previous prime is 2100651601823. The next prime is 2100651601831. The reversal of 2100651601824 is 4281061560012.

It is a happy number.

2100651601824 is a `hidden beast` number, since 2 + 100 + 6 + 516 + 0 + 18 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2100651601823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13791042 + ... + 13942529.

It is an arithmetic number, because the mean of its divisors is an integer number (83283916716).

Almost surely, 2^{2100651601824} is an apocalyptic number.

2100651601824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100651601824 is an abundant number, since it is smaller than the sum of its proper divisors (3895790401728).

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

2100651601824 is a wasteful number, since it uses less digits than its factorization.

2100651601824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27733850 (or 27733839 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2100651601824 in words is "two trillion, one hundred billion, six hundred fifty-one million, six hundred one thousand, eight hundred twenty-four".