2473689900 has 288 divisors, whose sum is σ = 8189475840. Its totient is φ = 571136000.

The previous prime is 2473689887. The next prime is 2473689901. The reversal of 2473689900 is 99863742.

It is a super-2 number, since 2×2473689900² = 12238283442724020000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2473689900.

It is not an unprimeable number, because it can be changed into a prime (2473689901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6358906 + ... + 6359294.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^2473689900 is an apocalyptic number.

2473689900 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 2473689900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2473689900 is an abundant number, since it is smaller than the sum of its proper divisors (5715785940).

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

2473689900 is a wasteful number, since it uses less digits than its factorization.

2473689900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2473689900 is about 49736.2031120189. The cubic root of 2473689900 is about 1352.4309013344.

The spelling of 2473689900 in words is "two billion, four hundred seventy-three million, six hundred eighty-nine thousand, nine hundred".