2408468562780 has 384 divisors, whose sum is σ = 8389340854272. Its totient is φ = 503620042752.

The previous prime is 2408468562769. The next prime is 2408468562791. The reversal of 2408468562780 is 872658648042.

It is an interprime number because it is at equal distance from previous prime (2408468562769) and next prime (2408468562791).

It is a super-3 number, since 3×2408468562780³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304595587 + ... + 304603493.

It is an arithmetic number, because the mean of its divisors is an integer number (21847241808).

Almost surely, 2^{2408468562780} is an apocalyptic number.

2408468562780 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 2408468562780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194670427136).

2408468562780 is an abundant number, since it is smaller than the sum of its proper divisors (5980872291492).

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

2408468562780 is a wasteful number, since it uses less digits than its factorization.

2408468562780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 2408468562780 in words is "two trillion, four hundred eight billion, four hundred sixty-eight million, five hundred sixty-two thousand, seven hundred eighty".