2467299420 has 192 divisors, whose sum is σ = 8160082560. Its totient is φ = 616771584.

The previous prime is 2467299413. The next prime is 2467299427. The reversal of 2467299420 is 249927642.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2467299413) and next prime (2467299427).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467299427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644122 + ... + 3644798.

It is an arithmetic number, because the mean of its divisors is an integer number (42500430).

Almost surely, 2^2467299420 is an apocalyptic number.

2467299420 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 2467299420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080041280).

2467299420 is an abundant number, since it is smaller than the sum of its proper divisors (5692783140).

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

2467299420 is a wasteful number, since it uses less digits than its factorization.

2467299420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2467299420 is about 49671.9178208372. The cubic root of 2467299420 is about 1351.2652828833.

The spelling of 2467299420 in words is "two billion, four hundred sixty-seven million, two hundred ninety-nine thousand, four hundred twenty".