2469720702240 has 1152 divisors, whose sum is σ = 9697396101120. Its totient is φ = 588612096000.

The previous prime is 2469720702191. The next prime is 2469720702257. The reversal of 2469720702240 is 422070279642.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10784806446 + ... + 10784806674.

It is an arithmetic number, because the mean of its divisors is an integer number (8417878560).

Almost surely, 2^{2469720702240} is an apocalyptic number.

2469720702240 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 2469720702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848698050560).

2469720702240 is an abundant number, since it is smaller than the sum of its proper divisors (7227675398880).

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

2469720702240 is a wasteful number, since it uses less digits than its factorization.

2469720702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2469720702240 in words is "two trillion, four hundred sixty-nine billion, seven hundred twenty million, seven hundred two thousand, two hundred forty".