2540464819200 has 1980 divisors, whose sum is σ = 11942946006552. Its totient is φ = 527656550400.

The previous prime is 2540464819199. The next prime is 2540464819267. The reversal of 2540464819200 is 29184640452.

It is a happy number.

2540464819200 is a `hidden beast` number, since 2 + 5 + 40 + 46 + 481 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a super-2 number, since 2×2540464819200² (a number of 26 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 1117669264 + ... + 1117671536.

Almost surely, 2^{2540464819200} is an apocalyptic number.

2540464819200 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 2540464819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971473003276).

2540464819200 is an abundant number, since it is smaller than the sum of its proper divisors (9402481187352).

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

2540464819200 is a wasteful number, since it uses less digits than its factorization.

2540464819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2540464819200 in words is "two trillion, five hundred forty billion, four hundred sixty-four million, eight hundred nineteen thousand, two hundred".