2354064960 has 224 divisors, whose sum is σ = 8203265280. Its totient is φ = 568369152.

The previous prime is 2354064959. The next prime is 2354064961. The reversal of 2354064960 is 694604532.

It is an interprime number because it is at equal distance from previous prime (2354064959) and next prime (2354064961).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2354064961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659661 + ... + 663219.

It is an arithmetic number, because the mean of its divisors is an integer number (36621720).

Almost surely, 2^2354064960 is an apocalyptic number.

2354064960 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 2354064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101632640).

2354064960 is an abundant number, since it is smaller than the sum of its proper divisors (5849200320).

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

2354064960 is a wasteful number, since it uses less digits than its factorization.

2354064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2354064960 is about 48518.7073199606. The cubic root of 2354064960 is about 1330.2690318261.

The spelling of 2354064960 in words is "two billion, three hundred fifty-four million, sixty-four thousand, nine hundred sixty".