2651669401680 has 960 divisors, whose sum is σ = 10894050236160. Its totient is φ = 593111973888.

The previous prime is 2651669401673. The next prime is 2651669401687. The reversal of 2651669401680 is 861049661562.

2651669401680 is a `hidden beast` number, since 2 + 6 + 516 + 6 + 9 + 40 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2651669401673) and next prime (2651669401687).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651669401687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124580319 + ... + 124601601.

It is an arithmetic number, because the mean of its divisors is an integer number (11347968996).

Almost surely, 2^{2651669401680} is an apocalyptic number.

2651669401680 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 2651669401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447025118080).

2651669401680 is an abundant number, since it is smaller than the sum of its proper divisors (8242380834480).

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

2651669401680 is a wasteful number, since it uses less digits than its factorization.

2651669401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21370 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2651669401680 in words is "two trillion, six hundred fifty-one billion, six hundred sixty-nine million, four hundred one thousand, six hundred eighty".