2654617680 has 960 divisors, whose sum is σ = 11699251200. Its totient is φ = 529182720.

The previous prime is 2654617649. The next prime is 2654617681. The reversal of 2654617680 is 867164562.

2654617680 is a `hidden beast` number, since 26 + 5 + 4 + 617 + 6 + 8 + 0 = 666.

2654617680 is a nontrivial binomial coefficient, being equal to C(72865, 2).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654617681) 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, 44993491 + ... + 44993549.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^2654617680 is an apocalyptic number.

2654617680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2654617680 is the 72864-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

2654617680 is an abundant number, since it is smaller than the sum of its proper divisors (9044633520).

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

2654617680 is a wasteful number, since it uses less digits than its factorization.

2654617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2654617680 is about 51522.9820565541. The cubic root of 2654617680 is about 1384.6308199419.

The spelling of 2654617680 in words is "two billion, six hundred fifty-four million, six hundred seventeen thousand, six hundred eighty".