2346457680 has 320 divisors, whose sum is σ = 9285120000. Its totient is φ = 533537280.

The previous prime is 2346457667. The next prime is 2346457697. The reversal of 2346457680 is 867546432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4702071 + ... + 4702569.

It is an arithmetic number, because the mean of its divisors is an integer number (29016000).

Almost surely, 2^2346457680 is an apocalyptic number.

2346457680 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 2346457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560000).

2346457680 is an abundant number, since it is smaller than the sum of its proper divisors (6938662320).

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

2346457680 is a wasteful number, since it uses less digits than its factorization.

2346457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2346457680 is about 48440.2485542756. The cubic root of 2346457680 is about 1328.8345416159.

The spelling of 2346457680 in words is "two billion, three hundred forty-six million, four hundred fifty-seven thousand, six hundred eighty".