2154566340 has 144 divisors (see below), whose sum is σ = 6814918656. Its totient is φ = 550368000.

The previous prime is 2154566327. The next prime is 2154566341. The reversal of 2154566340 is 436654512.

2154566340 is a `hidden beast` number, since 2 + 1 + 54 + 566 + 3 + 40 = 666.

It is a super-2 number, since 2×2154566340² = 9284312226921991200, which contains 22 as substring.

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 = 2154566295 and 2154566304.

It is not an unprimeable number, because it can be changed into a prime (2154566341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561669 + ... + 565491.

It is an arithmetic number, because the mean of its divisors is an integer number (47325824).

Almost surely, 2^2154566340 is an apocalyptic number.

2154566340 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 2154566340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407459328).

2154566340 is an abundant number, since it is smaller than the sum of its proper divisors (4660352316).

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

2154566340 is a wasteful number, since it uses less digits than its factorization.

2154566340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2154566340 is about 46417.3064707551. The cubic root of 2154566340 is about 1291.5759718399.

The spelling of 2154566340 in words is "two billion, one hundred fifty-four million, five hundred sixty-six thousand, three hundred forty".