20249261040 has 80 divisors (see below), whose sum is σ = 63567360000. Its totient is φ = 5331446016.

The previous prime is 20249260981. The next prime is 20249261041. The reversal of 20249261040 is 4016294202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20249260989 and 20249261007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249261041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515040 + ... + 552959.

It is an arithmetic number, because the mean of its divisors is an integer number (794592000).

Almost surely, 2^20249261040 is an apocalyptic number.

20249261040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20249261040 is an abundant number, since it is smaller than the sum of its proper divisors (43318098960).

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

20249261040 is a wasteful number, since it uses less digits than its factorization.

20249261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068094 (or 1068088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20249261040 in words is "twenty billion, two hundred forty-nine million, two hundred sixty-one thousand, forty".