2468672640000 has 1100 divisors, whose sum is σ = 10529519150304. Its totient is φ = 564185088000.

The previous prime is 2468672639987. The next prime is 2468672640023. The reversal of 2468672640000 is 462768642.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362876599 + ... + 362883401.

Almost surely, 2^{2468672640000} is an apocalyptic number.

2468672640000 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 2468672640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264759575152).

2468672640000 is an abundant number, since it is smaller than the sum of its proper divisors (8060846510304).

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

2468672640000 is an frugal number, since it uses more digits than its factorization.

2468672640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2468672640000 in words is "two trillion, four hundred sixty-eight billion, six hundred seventy-two million, six hundred forty thousand".