2538910920 has 256 divisors, whose sum is σ = 9594224640. Its totient is φ = 523127808.

The previous prime is 2538910919. The next prime is 2538910961. The reversal of 2538910920 is 290198352.

It is a super-3 number, since 3×2538910920³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466857 + ... + 472263.

It is an arithmetic number, because the mean of its divisors is an integer number (37477440).

Almost surely, 2^2538910920 is an apocalyptic number.

2538910920 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 2538910920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797112320).

2538910920 is an abundant number, since it is smaller than the sum of its proper divisors (7055313720).

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

2538910920 is a wasteful number, since it uses less digits than its factorization.

2538910920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2538910920 is about 50387.6068096114. The cubic root of 2538910920 is about 1364.2139552520.

The spelling of 2538910920 in words is "two billion, five hundred thirty-eight million, nine hundred ten thousand, nine hundred twenty".