2405649792 has 256 divisors, whose sum is σ = 8052549120. Its totient is φ = 619315200.

The previous prime is 2405649791. The next prime is 2405649853. The reversal of 2405649792 is 2979465042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405649791) 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, 1501792 + ... + 1503392.

It is an arithmetic number, because the mean of its divisors is an integer number (31455270).

Almost surely, 2^2405649792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2405649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026274560).

2405649792 is an abundant number, since it is smaller than the sum of its proper divisors (5646899328).

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

2405649792 is a wasteful number, since it uses less digits than its factorization.

2405649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 2405649792 is about 49047.4239078874. The cubic root of 2405649792 is about 1339.9156759888.

The spelling of 2405649792 in words is "two billion, four hundred five million, six hundred forty-nine thousand, seven hundred ninety-two".