2468949603120 has 1920 divisors, whose sum is σ = 11393198788608. Its totient is φ = 462628454400.

The previous prime is 2468949603101. The next prime is 2468949603121. The reversal of 2468949603120 is 213069498642.

2468949603120 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 9 + 4 + 9 + 603 + 1 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (2468949603121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8786297380 + ... + 8786297660.

Almost surely, 2^{2468949603120} is an apocalyptic number.

2468949603120 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 2468949603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696599394304).

2468949603120 is an abundant number, since it is smaller than the sum of its proper divisors (8924249185488).

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

2468949603120 is a wasteful number, since it uses less digits than its factorization.

2468949603120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2468949603120 in words is "two trillion, four hundred sixty-eight billion, nine hundred forty-nine million, six hundred three thousand, one hundred twenty".