2154666240 has 216 divisors, whose sum is σ = 7597731960. Its totient is φ = 563576832.

The previous prime is 2154666221. The next prime is 2154666257. The reversal of 2154666240 is 426664512.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 2070614016 = 9168^2 + 45504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2154666195 and 2154666204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608796 + ... + 612324.

It is an arithmetic number, because the mean of its divisors is an integer number (35174685).

Almost surely, 2^2154666240 is an apocalyptic number.

2154666240 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 2154666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798865980).

2154666240 is an abundant number, since it is smaller than the sum of its proper divisors (5443065720).

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

2154666240 is a wasteful number, since it uses less digits than its factorization.

2154666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2154666240 is about 46418.3825655311. The cubic root of 2154666240 is about 1291.5959335437.

The spelling of 2154666240 in words is "two billion, one hundred fifty-four million, six hundred sixty-six thousand, two hundred forty".