2462659440 has 160 divisors (see below), whose sum is σ = 8121980160. Its totient is φ = 615124992.

The previous prime is 2462659421. The next prime is 2462659447. The reversal of 2462659440 is 449562642.

It is a super-2 number, since 2×2462659440² = 12129383034842227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2462659392 and 2462659401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462659447) 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, 924831 + ... + 927489.

It is an arithmetic number, because the mean of its divisors is an integer number (50762376).

Almost surely, 2^2462659440 is an apocalyptic number.

2462659440 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 2462659440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060990080).

2462659440 is an abundant number, since it is smaller than the sum of its proper divisors (5659320720).

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

2462659440 is a wasteful number, since it uses less digits than its factorization.

2462659440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2462659440 is about 49625.1895714263. The cubic root of 2462659440 is about 1350.4176924254.

The spelling of 2462659440 in words is "two billion, four hundred sixty-two million, six hundred fifty-nine thousand, four hundred forty".