2472199704000 has 2240 divisors, whose sum is σ = 10637124930432. Its totient is φ = 561364992000.

The previous prime is 2472199703999. The next prime is 2472199704001. The reversal of 2472199704000 is 4079912742.

It is a happy number.

2472199704000 is a `hidden beast` number, since 24 + 7 + 219 + 9 + 7 + 0 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2472199703999) and next prime (2472199704001).

It is a super-2 number, since 2×2472199704000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472199704001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8735687859 + ... + 8735688141.

Almost surely, 2^{2472199704000} is an apocalyptic number.

2472199704000 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 2472199704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318562465216).

2472199704000 is an abundant number, since it is smaller than the sum of its proper divisors (8164925226432).

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

2472199704000 is a wasteful number, since it uses less digits than its factorization.

2472199704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2472199704000 in words is "two trillion, four hundred seventy-two billion, one hundred ninety-nine million, seven hundred four thousand".