2473511040 has 1152 divisors, whose sum is σ = 11916374400. Its totient is φ = 474439680.

The previous prime is 2473511009. The next prime is 2473511041. The reversal of 2473511040 is 401153742.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2473511040² = 12236513730003763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2473510995 and 2473511013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190270074 + ... + 190270086.

It is an arithmetic number, because the mean of its divisors is an integer number (10344075).

Almost surely, 2^2473511040 is an apocalyptic number.

2473511040 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 2473511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958187200).

2473511040 is an abundant number, since it is smaller than the sum of its proper divisors (9442863360).

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

2473511040 is a wasteful number, since it uses less digits than its factorization.

2473511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2473511040 is about 49734.4049929222. The cubic root of 2473511040 is about 1352.3983047370.

Multiplying 2473511040 by its product of nonzero digits (3360), we get a square (8310997094400 = 2882880²).

2473511040 divided by its product of nonzero digits (3360) gives a square (736164 = 858²).

Adding to 2473511040 its reverse (401153742), we get a palindrome (2874664782).

The spelling of 2473511040 in words is "two billion, four hundred seventy-three million, five hundred eleven thousand, forty".