29874220740 has 576 divisors, whose sum is σ = 119446978560. Its totient is φ = 6097006080.

The previous prime is 29874220723. The next prime is 29874220769. The reversal of 29874220740 is 4702247892.

29874220740 is a `hidden beast` number, since 298 + 74 + 220 + 74 + 0 = 666.

It is a super-2 number, since 2×29874220740² (a number of 22 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 191 ways as a sum of consecutive naturals, for example, 13708971 + ... + 13711149.

Almost surely, 2^29874220740 is an apocalyptic number.

29874220740 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 29874220740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59723489280).

29874220740 is an abundant number, since it is smaller than the sum of its proper divisors (89572757820).

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

29874220740 is a wasteful number, since it uses less digits than its factorization.

29874220740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 29874220740 in words is "twenty-nine billion, eight hundred seventy-four million, two hundred twenty thousand, seven hundred forty".