2405653340 has 72 divisors (see below), whose sum is σ = 5455296672. Its totient is φ = 890680320.

The previous prime is 2405653331. The next prime is 2405653363. The reversal of 2405653340 is 433565042.

It is a junction number, because it is equal to n+sod(n) for n = 2405653297 and 2405653306.

It is a congruent number.

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, 349169 + ... + 355991.

Almost surely, 2^2405653340 is an apocalyptic number.

2405653340 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 2405653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727648336).

2405653340 is an abundant number, since it is smaller than the sum of its proper divisors (3049643332).

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

2405653340 is a wasteful number, since it uses less digits than its factorization.

2405653340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 2405653340 is about 49047.4600769500. The cubic root of 2405653340 is about 1339.9163347184.

The spelling of 2405653340 in words is "two billion, four hundred five million, six hundred fifty-three thousand, three hundred forty".