2495220940800 has 2160 divisors, whose sum is σ = 11327597487360. Its totient is φ = 529992253440.

The previous prime is 2495220940787. The next prime is 2495220940811. The reversal of 2495220940800 is 80490225942.

2495220940800 is a `hidden beast` number, since 2 + 4 + 9 + 522 + 0 + 9 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2495220940800² (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 119 ways as a sum of consecutive naturals, for example, 31585075161 + ... + 31585075239.

It is an arithmetic number, because the mean of its divisors is an integer number (5244258096).

Almost surely, 2^{2495220940800} is an apocalyptic number.

2495220940800 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 2495220940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663798743680).

2495220940800 is an abundant number, since it is smaller than the sum of its proper divisors (8832376546560).

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

2495220940800 is an frugal number, since it uses more digits than its factorization.

2495220940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2495220940800 in words is "two trillion, four hundred ninety-five billion, two hundred twenty million, nine hundred forty thousand, eight hundred".