2672148993840 has 240 divisors, whose sum is σ = 9266297204736. Its totient is φ = 689374886400.

The previous prime is 2672148993821. The next prime is 2672148993863. The reversal of 2672148993840 is 483998412762.

2672148993840 is a `hidden beast` number, since 2 + 6 + 7 + 21 + 489 + 93 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80491645 + ... + 80524835.

Almost surely, 2^{2672148993840} is an apocalyptic number.

2672148993840 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 2672148993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633148602368).

2672148993840 is an abundant number, since it is smaller than the sum of its proper divisors (6594148210896).

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

2672148993840 is a wasteful number, since it uses less digits than its factorization.

2672148993840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848 (or 36839 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2672148993840 in words is "two trillion, six hundred seventy-two billion, one hundred forty-eight million, nine hundred ninety-three thousand, eight hundred forty".