2462395040 has 144 divisors (see below), whose sum is σ = 6845164200. Its totient is φ = 834527232.

The previous prime is 2462395037. The next prime is 2462395051. The reversal of 2462395040 is 405932642.

It can be written as a sum of positive squares in 4 ways, for example, as 1031437456 + 1430957584 = 32116^2 + 37828^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695996 + ... + 699524.

Almost surely, 2^2462395040 is an apocalyptic number.

2462395040 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 2462395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422582100).

2462395040 is an abundant number, since it is smaller than the sum of its proper divisors (4382769160).

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

2462395040 is a wasteful number, since it uses less digits than its factorization.

2462395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2462395040 is about 49622.5255302468. The cubic root of 2462395040 is about 1350.3693621243.

The spelling of 2462395040 in words is "two billion, four hundred sixty-two million, three hundred ninety-five thousand, forty".