2407780992 has 128 divisors (see below), whose sum is σ = 6805244160. Its totient is φ = 751665152.

The previous prime is 2407780939. The next prime is 2407780993. The reversal of 2407780992 is 2990877042.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2407780993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520233 + ... + 1521815.

It is an arithmetic number, because the mean of its divisors is an integer number (53165970).

Almost surely, 2^2407780992 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 2407780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402622080).

2407780992 is an abundant number, since it is smaller than the sum of its proper divisors (4397463168).

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

2407780992 is a wasteful number, since it uses less digits than its factorization.

2407780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2407780992 is about 49069.1450098736. The cubic root of 2407780992 is about 1340.3112427683.

The spelling of 2407780992 in words is "two billion, four hundred seven million, seven hundred eighty thousand, nine hundred ninety-two".