2458653960 has 256 divisors, whose sum is σ = 8950579200. Its totient is φ = 527772672.

The previous prime is 2458653949. The next prime is 2458653973. The reversal of 2458653960 is 693568542.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 2026314 + ... + 2027526.

It is an arithmetic number, because the mean of its divisors is an integer number (34963200).

Almost surely, 2^2458653960 is an apocalyptic number.

2458653960 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 2458653960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475289600).

2458653960 is an abundant number, since it is smaller than the sum of its proper divisors (6491925240).

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

2458653960 is a wasteful number, since it uses less digits than its factorization.

2458653960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2458653960 is about 49584.8158209749. The cubic root of 2458653960 is about 1349.6851501697.

The spelling of 2458653960 in words is "two billion, four hundred fifty-eight million, six hundred fifty-three thousand, nine hundred sixty".