2436472980 has 384 divisors, whose sum is σ = 8624448000. Its totient is φ = 567336960.

The previous prime is 2436472939. The next prime is 2436473057. The reversal of 2436472980 is 892746342.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10639506 + ... + 10639734.

It is an arithmetic number, because the mean of its divisors is an integer number (22459500).

Almost surely, 2^2436472980 is an apocalyptic number.

2436472980 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 2436472980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312224000).

2436472980 is an abundant number, since it is smaller than the sum of its proper divisors (6187975020).

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

2436472980 is a wasteful number, since it uses less digits than its factorization.

2436472980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2436472980 is about 49360.6420136529. The cubic root of 2436472980 is about 1345.6141122121.

It can be divided in two parts, 24364 and 72980, that added together give a square (97344 = 312²).

The spelling of 2436472980 in words is "two billion, four hundred thirty-six million, four hundred seventy-two thousand, nine hundred eighty".