2354576640 has 288 divisors, whose sum is σ = 8196080256. Its totient is φ = 572620800.

The previous prime is 2354576639. The next prime is 2354576657. The reversal of 2354576640 is 466754532.

It is a junction number, because it is equal to n+sod(n) for n = 2354576592 and 2354576601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5041687 + ... + 5042153.

It is an arithmetic number, because the mean of its divisors is an integer number (28458612).

Almost surely, 2^2354576640 is an apocalyptic number.

2354576640 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 2354576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098040128).

2354576640 is an abundant number, since it is smaller than the sum of its proper divisors (5841503616).

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

2354576640 is a wasteful number, since it uses less digits than its factorization.

2354576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 2354576640 is about 48523.9800511046. The cubic root of 2354576640 is about 1330.3654073523.

The spelling of 2354576640 in words is "two billion, three hundred fifty-four million, five hundred seventy-six thousand, six hundred forty".