2469920640 has 256 divisors, whose sum is σ = 8698233600. Its totient is φ = 591134720.

The previous prime is 2469920627. The next prime is 2469920693. The reversal of 2469920640 is 460299642.

It is a super-2 number, since 2×2469920640² = 12201015935796019200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2469920592 and 2469920601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752256 + ... + 1753664.

It is an arithmetic number, because the mean of its divisors is an integer number (33977475).

Almost surely, 2^2469920640 is an apocalyptic number.

2469920640 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 2469920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349116800).

2469920640 is an abundant number, since it is smaller than the sum of its proper divisors (6228312960).

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

2469920640 is a wasteful number, since it uses less digits than its factorization.

2469920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2469920640 is about 49698.2961478560. The cubic root of 2469920640 is about 1351.7436345022.

The spelling of 2469920640 in words is "two billion, four hundred sixty-nine million, nine hundred twenty thousand, six hundred forty".