902029252124 has 288 divisors, whose sum is σ = 2295538882560. Its totient is φ = 300170707200.

The previous prime is 902029252073. The next prime is 902029252169. The reversal of 902029252124 is 421252920209.

It is a super-2 number, since 2×902029252124² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42515879 + ... + 42537089.

It is an arithmetic number, because the mean of its divisors is an integer number (7970621120).

Almost surely, 2^902029252124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902029252124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147769441280).

902029252124 is an abundant number, since it is smaller than the sum of its proper divisors (1393509630436).

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

902029252124 is a wasteful number, since it uses less digits than its factorization.

902029252124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21321 (or 21306 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 902029252124 in words is "nine hundred two billion, twenty-nine million, two hundred fifty-two thousand, one hundred twenty-four".